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Finding the Third Proportional to 198,121 and 386,314

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Solution

The third proportional to 198,121 and 386,314 is: 753,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,121 : 386,314 = 386,314 : x
  2. Step 2: Convert to fraction form
    198,121/386,314 = 386,314/x
  3. Step 3: Cross multiply
    198,121x = 386,314 × 386,314
  4. Step 4: Simplify right side
    198,121x = 149,238,506,596
  5. Step 5: Solve for x
    x = 149,238,506,596/198,121
  6. Step 6: Final answer
    x = 753,269.50

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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.