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Finding the Third Proportional to 5,691.38 and 8,909.16

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Solution

The third proportional to 5,691.38 and 8,909.16 is: 13,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.38 : 8,909.16 = 8,909.16 : x
  2. Step 2: Convert to fraction form
    5,691.38/8,909.16 = 8,909.16/x
  3. Step 3: Cross multiply
    5,691.38x = 8,909.16 × 8,909.16
  4. Step 4: Simplify right side
    5,691.38x = 79,373,065.09
  5. Step 5: Solve for x
    x = 79,373,065.09/5,691.38
  6. Step 6: Final answer
    x = 13,946.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.