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Finding the Third Proportional to 39,760 and 86,531

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Solution

The third proportional to 39,760 and 86,531 is: 188,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 86,531 = 86,531 : x
  2. Step 2: Convert to fraction form
    39,760/86,531 = 86,531/x
  3. Step 3: Cross multiply
    39,760x = 86,531 × 86,531
  4. Step 4: Simplify right side
    39,760x = 7,487,613,961
  5. Step 5: Solve for x
    x = 7,487,613,961/39,760
  6. Step 6: Final answer
    x = 188,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.