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Finding the Third Proportional to 198,308 and 277,374

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Solution

The third proportional to 198,308 and 277,374 is: 387,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,308 : 277,374 = 277,374 : x
  2. Step 2: Convert to fraction form
    198,308/277,374 = 277,374/x
  3. Step 3: Cross multiply
    198,308x = 277,374 × 277,374
  4. Step 4: Simplify right side
    198,308x = 76,936,335,876
  5. Step 5: Solve for x
    x = 76,936,335,876/198,308
  6. Step 6: Final answer
    x = 387,963.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.