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Finding the Third Proportional to 78,954.75 and 107,193.38

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Solution

The third proportional to 78,954.75 and 107,193.38 is: 145,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,954.75 : 107,193.38 = 107,193.38 : x
  2. Step 2: Convert to fraction form
    78,954.75/107,193.38 = 107,193.38/x
  3. Step 3: Cross multiply
    78,954.75x = 107,193.38 × 107,193.38
  4. Step 4: Simplify right side
    78,954.75x = 11,490,419,643.89
  5. Step 5: Solve for x
    x = 11,490,419,643.89/78,954.75
  6. Step 6: Final answer
    x = 145,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.