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Finding the Third Proportional to 91,665 and 198,882

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Solution

The third proportional to 91,665 and 198,882 is: 431,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,665 : 198,882 = 198,882 : x
  2. Step 2: Convert to fraction form
    91,665/198,882 = 198,882/x
  3. Step 3: Cross multiply
    91,665x = 198,882 × 198,882
  4. Step 4: Simplify right side
    91,665x = 39,554,049,924
  5. Step 5: Solve for x
    x = 39,554,049,924/91,665
  6. Step 6: Final answer
    x = 431,506.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.