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Finding the Third Proportional to 324.11 and 487.00

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Solution

The third proportional to 324.11 and 487.00 is: 731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 487.00 = 487.00 : x
  2. Step 2: Convert to fraction form
    324.11/487.00 = 487.00/x
  3. Step 3: Cross multiply
    324.11x = 487.00 × 487.00
  4. Step 4: Simplify right side
    324.11x = 237,170.90
  5. Step 5: Solve for x
    x = 237,170.90/324.11
  6. Step 6: Final answer
    x = 731.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.