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Finding the Third Proportional to 20,570 and 22,730

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Solution

The third proportional to 20,570 and 22,730 is: 25,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570 : 22,730 = 22,730 : x
  2. Step 2: Convert to fraction form
    20,570/22,730 = 22,730/x
  3. Step 3: Cross multiply
    20,570x = 22,730 × 22,730
  4. Step 4: Simplify right side
    20,570x = 516,652,900
  5. Step 5: Solve for x
    x = 516,652,900/20,570
  6. Step 6: Final answer
    x = 25,116.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.