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Finding the Third Proportional to 55,735,059,192,750 and 77,495,144,747,589

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Solution

The third proportional to 55,735,059,192,750 and 77,495,144,747,589 is: 107,750,804,366,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,735,059,192,750 : 77,495,144,747,589 = 77,495,144,747,589 : x
  2. Step 2: Convert to fraction form
    55,735,059,192,750/77,495,144,747,589 = 77,495,144,747,589/x
  3. Step 3: Cross multiply
    55,735,059,192,750x = 77,495,144,747,589 × 77,495,144,747,589
  4. Step 4: Simplify right side
    55,735,059,192,750x = 6,005,497,459,449,771,363,609,346,048
  5. Step 5: Solve for x
    x = 6,005,497,459,449,771,363,609,346,048/55,735,059,192,750
  6. Step 6: Final answer
    x = 107,750,804,366,795.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.