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Finding the Third Proportional to 218,442 and 329,671

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Solution

The third proportional to 218,442 and 329,671 is: 497,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,442 : 329,671 = 329,671 : x
  2. Step 2: Convert to fraction form
    218,442/329,671 = 329,671/x
  3. Step 3: Cross multiply
    218,442x = 329,671 × 329,671
  4. Step 4: Simplify right side
    218,442x = 108,682,968,241
  5. Step 5: Solve for x
    x = 108,682,968,241/218,442
  6. Step 6: Final answer
    x = 497,536.96

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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.