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Finding the Third Proportional to 218,952 and 329,400

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Solution

The third proportional to 218,952 and 329,400 is: 495,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952 : 329,400 = 329,400 : x
  2. Step 2: Convert to fraction form
    218,952/329,400 = 329,400/x
  3. Step 3: Cross multiply
    218,952x = 329,400 × 329,400
  4. Step 4: Simplify right side
    218,952x = 108,504,360,000
  5. Step 5: Solve for x
    x = 108,504,360,000/218,952
  6. Step 6: Final answer
    x = 495,562.32

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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.