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Finding the Third Proportional to 91,272 and 199,353

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Solution

The third proportional to 91,272 and 199,353 is: 435,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,272 : 199,353 = 199,353 : x
  2. Step 2: Convert to fraction form
    91,272/199,353 = 199,353/x
  3. Step 3: Cross multiply
    91,272x = 199,353 × 199,353
  4. Step 4: Simplify right side
    91,272x = 39,741,618,609
  5. Step 5: Solve for x
    x = 39,741,618,609/91,272
  6. Step 6: Final answer
    x = 435,419.61

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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.