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Finding the Third Proportional to 15,342 and 31,663

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Solution

The third proportional to 15,342 and 31,663 is: 65,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 31,663 = 31,663 : x
  2. Step 2: Convert to fraction form
    15,342/31,663 = 31,663/x
  3. Step 3: Cross multiply
    15,342x = 31,663 × 31,663
  4. Step 4: Simplify right side
    15,342x = 1,002,545,569
  5. Step 5: Solve for x
    x = 1,002,545,569/15,342
  6. Step 6: Final answer
    x = 65,346.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.