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Finding the Third Proportional to 3,966.19 and 8,479.31

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Solution

The third proportional to 3,966.19 and 8,479.31 is: 18,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.19 : 8,479.31 = 8,479.31 : x
  2. Step 2: Convert to fraction form
    3,966.19/8,479.31 = 8,479.31/x
  3. Step 3: Cross multiply
    3,966.19x = 8,479.31 × 8,479.31
  4. Step 4: Simplify right side
    3,966.19x = 71,898,740.47
  5. Step 5: Solve for x
    x = 71,898,740.47/3,966.19
  6. Step 6: Final answer
    x = 18,127.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.