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Finding the Third Proportional to 8,370.47 and 11,368.17

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Solution

The third proportional to 8,370.47 and 11,368.17 is: 15,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.47 : 11,368.17 = 11,368.17 : x
  2. Step 2: Convert to fraction form
    8,370.47/11,368.17 = 11,368.17/x
  3. Step 3: Cross multiply
    8,370.47x = 11,368.17 × 11,368.17
  4. Step 4: Simplify right side
    8,370.47x = 129,235,331.78
  5. Step 5: Solve for x
    x = 129,235,331.78/8,370.47
  6. Step 6: Final answer
    x = 15,439.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.