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Finding the Third Proportional to 20,791 and 31,472

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Solution

The third proportional to 20,791 and 31,472 is: 47,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791 : 31,472 = 31,472 : x
  2. Step 2: Convert to fraction form
    20,791/31,472 = 31,472/x
  3. Step 3: Cross multiply
    20,791x = 31,472 × 31,472
  4. Step 4: Simplify right side
    20,791x = 990,486,784
  5. Step 5: Solve for x
    x = 990,486,784/20,791
  6. Step 6: Final answer
    x = 47,640.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.