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Finding the Third Proportional to 187,998 and 396,952

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Solution

The third proportional to 187,998 and 396,952 is: 838,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,998 : 396,952 = 396,952 : x
  2. Step 2: Convert to fraction form
    187,998/396,952 = 396,952/x
  3. Step 3: Cross multiply
    187,998x = 396,952 × 396,952
  4. Step 4: Simplify right side
    187,998x = 157,570,890,304
  5. Step 5: Solve for x
    x = 157,570,890,304/187,998
  6. Step 6: Final answer
    x = 838,151.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.