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Finding the Third Proportional to 91,731 and 198,438

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Solution

The third proportional to 91,731 and 198,438 is: 429,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731 : 198,438 = 198,438 : x
  2. Step 2: Convert to fraction form
    91,731/198,438 = 198,438/x
  3. Step 3: Cross multiply
    91,731x = 198,438 × 198,438
  4. Step 4: Simplify right side
    91,731x = 39,377,639,844
  5. Step 5: Solve for x
    x = 39,377,639,844/91,731
  6. Step 6: Final answer
    x = 429,272.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.