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Finding the Third Proportional to 198,132 and 386,341

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Solution

The third proportional to 198,132 and 386,341 is: 753,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,132 : 386,341 = 386,341 : x
  2. Step 2: Convert to fraction form
    198,132/386,341 = 386,341/x
  3. Step 3: Cross multiply
    198,132x = 386,341 × 386,341
  4. Step 4: Simplify right side
    198,132x = 149,259,368,281
  5. Step 5: Solve for x
    x = 149,259,368,281/198,132
  6. Step 6: Final answer
    x = 753,332.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.