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Finding the Third Proportional to 29,691 and 39,659

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Solution

The third proportional to 29,691 and 39,659 is: 52,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 39,659 = 39,659 : x
  2. Step 2: Convert to fraction form
    29,691/39,659 = 39,659/x
  3. Step 3: Cross multiply
    29,691x = 39,659 × 39,659
  4. Step 4: Simplify right side
    29,691x = 1,572,836,281
  5. Step 5: Solve for x
    x = 1,572,836,281/29,691
  6. Step 6: Final answer
    x = 52,973.50

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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.