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Finding the Third Proportional to 8,400.38 and 11,773.88

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Solution

The third proportional to 8,400.38 and 11,773.88 is: 16,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.38 : 11,773.88 = 11,773.88 : x
  2. Step 2: Convert to fraction form
    8,400.38/11,773.88 = 11,773.88/x
  3. Step 3: Cross multiply
    8,400.38x = 11,773.88 × 11,773.88
  4. Step 4: Simplify right side
    8,400.38x = 138,624,132.52
  5. Step 5: Solve for x
    x = 138,624,132.52/8,400.38
  6. Step 6: Final answer
    x = 16,502.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.