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Finding the Third Proportional to 8,449.31 and 18,384.47

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Solution

The third proportional to 8,449.31 and 18,384.47 is: 40,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.31 : 18,384.47 = 18,384.47 : x
  2. Step 2: Convert to fraction form
    8,449.31/18,384.47 = 18,384.47/x
  3. Step 3: Cross multiply
    8,449.31x = 18,384.47 × 18,384.47
  4. Step 4: Simplify right side
    8,449.31x = 337,988,691.22
  5. Step 5: Solve for x
    x = 337,988,691.22/8,449.31
  6. Step 6: Final answer
    x = 40,001.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.