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Finding the Third Proportional to 91,472 and 198,980

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Solution

The third proportional to 91,472 and 198,980 is: 432,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,472 : 198,980 = 198,980 : x
  2. Step 2: Convert to fraction form
    91,472/198,980 = 198,980/x
  3. Step 3: Cross multiply
    91,472x = 198,980 × 198,980
  4. Step 4: Simplify right side
    91,472x = 39,593,040,400
  5. Step 5: Solve for x
    x = 39,593,040,400/91,472
  6. Step 6: Final answer
    x = 432,843.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.