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Finding the Third Proportional to 218,478 and 329,720

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Solution

The third proportional to 218,478 and 329,720 is: 497,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,478 : 329,720 = 329,720 : x
  2. Step 2: Convert to fraction form
    218,478/329,720 = 329,720/x
  3. Step 3: Cross multiply
    218,478x = 329,720 × 329,720
  4. Step 4: Simplify right side
    218,478x = 108,715,278,400
  5. Step 5: Solve for x
    x = 108,715,278,400/218,478
  6. Step 6: Final answer
    x = 497,602.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.