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Finding the Third Proportional to 9,642.38 and 20,512.13

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Solution

The third proportional to 9,642.38 and 20,512.13 is: 43,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.38 : 20,512.13 = 20,512.13 : x
  2. Step 2: Convert to fraction form
    9,642.38/20,512.13 = 20,512.13/x
  3. Step 3: Cross multiply
    9,642.38x = 20,512.13 × 20,512.13
  4. Step 4: Simplify right side
    9,642.38x = 420,747,272.02
  5. Step 5: Solve for x
    x = 420,747,272.02/9,642.38
  6. Step 6: Final answer
    x = 43,635.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.