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Finding the Third Proportional to 56,139.75 and 121,755.38

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Solution

The third proportional to 56,139.75 and 121,755.38 is: 264,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,139.75 : 121,755.38 = 121,755.38 : x
  2. Step 2: Convert to fraction form
    56,139.75/121,755.38 = 121,755.38/x
  3. Step 3: Cross multiply
    56,139.75x = 121,755.38 × 121,755.38
  4. Step 4: Simplify right side
    56,139.75x = 14,824,371,341.39
  5. Step 5: Solve for x
    x = 14,824,371,341.39/56,139.75
  6. Step 6: Final answer
    x = 264,061.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.