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Finding the Third Proportional to 218,536 and 329,812

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Solution

The third proportional to 218,536 and 329,812 is: 497,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,536 : 329,812 = 329,812 : x
  2. Step 2: Convert to fraction form
    218,536/329,812 = 329,812/x
  3. Step 3: Cross multiply
    218,536x = 329,812 × 329,812
  4. Step 4: Simplify right side
    218,536x = 108,775,955,344
  5. Step 5: Solve for x
    x = 108,775,955,344/218,536
  6. Step 6: Final answer
    x = 497,748.45

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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.