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Finding the Third Proportional to 8,392.78 and 11,358.14

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Solution

The third proportional to 8,392.78 and 11,358.14 is: 15,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.78 : 11,358.14 = 11,358.14 : x
  2. Step 2: Convert to fraction form
    8,392.78/11,358.14 = 11,358.14/x
  3. Step 3: Cross multiply
    8,392.78x = 11,358.14 × 11,358.14
  4. Step 4: Simplify right side
    8,392.78x = 129,007,358.46
  5. Step 5: Solve for x
    x = 129,007,358.46/8,392.78
  6. Step 6: Final answer
    x = 15,371.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.