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Finding the Third Proportional to 71,687 and 107,409

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Solution

The third proportional to 71,687 and 107,409 is: 160,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687 : 107,409 = 107,409 : x
  2. Step 2: Convert to fraction form
    71,687/107,409 = 107,409/x
  3. Step 3: Cross multiply
    71,687x = 107,409 × 107,409
  4. Step 4: Simplify right side
    71,687x = 11,536,693,281
  5. Step 5: Solve for x
    x = 11,536,693,281/71,687
  6. Step 6: Final answer
    x = 160,931.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.