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Finding the Third Proportional to 29,689 and 39,654

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Solution

The third proportional to 29,689 and 39,654 is: 52,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689 : 39,654 = 39,654 : x
  2. Step 2: Convert to fraction form
    29,689/39,654 = 39,654/x
  3. Step 3: Cross multiply
    29,689x = 39,654 × 39,654
  4. Step 4: Simplify right side
    29,689x = 1,572,439,716
  5. Step 5: Solve for x
    x = 1,572,439,716/29,689
  6. Step 6: Final answer
    x = 52,963.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.