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Finding the Third Proportional to 9,539 and 20,720

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Solution

The third proportional to 9,539 and 20,720 is: 45,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539 : 20,720 = 20,720 : x
  2. Step 2: Convert to fraction form
    9,539/20,720 = 20,720/x
  3. Step 3: Cross multiply
    9,539x = 20,720 × 20,720
  4. Step 4: Simplify right side
    9,539x = 429,318,400
  5. Step 5: Solve for x
    x = 429,318,400/9,539
  6. Step 6: Final answer
    x = 45,006.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.