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Finding the Third Proportional to 8,964.28 and 13,129.17

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Solution

The third proportional to 8,964.28 and 13,129.17 is: 19,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.28 : 13,129.17 = 13,129.17 : x
  2. Step 2: Convert to fraction form
    8,964.28/13,129.17 = 13,129.17/x
  3. Step 3: Cross multiply
    8,964.28x = 13,129.17 × 13,129.17
  4. Step 4: Simplify right side
    8,964.28x = 172,375,154.12
  5. Step 5: Solve for x
    x = 172,375,154.12/8,964.28
  6. Step 6: Final answer
    x = 19,229.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.