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Finding the Third Proportional to 10,972 and 22,720

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Solution

The third proportional to 10,972 and 22,720 is: 47,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 22,720 = 22,720 : x
  2. Step 2: Convert to fraction form
    10,972/22,720 = 22,720/x
  3. Step 3: Cross multiply
    10,972x = 22,720 × 22,720
  4. Step 4: Simplify right side
    10,972x = 516,198,400
  5. Step 5: Solve for x
    x = 516,198,400/10,972
  6. Step 6: Final answer
    x = 47,046.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.