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Finding the Third Proportional to 15,497 and 31,810

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Solution

The third proportional to 15,497 and 31,810 is: 65,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497 : 31,810 = 31,810 : x
  2. Step 2: Convert to fraction form
    15,497/31,810 = 31,810/x
  3. Step 3: Cross multiply
    15,497x = 31,810 × 31,810
  4. Step 4: Simplify right side
    15,497x = 1,011,876,100
  5. Step 5: Solve for x
    x = 1,011,876,100/15,497
  6. Step 6: Final answer
    x = 65,294.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.