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Finding the Third Proportional to 91,508 and 198,460

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Solution

The third proportional to 91,508 and 198,460 is: 430,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,508 : 198,460 = 198,460 : x
  2. Step 2: Convert to fraction form
    91,508/198,460 = 198,460/x
  3. Step 3: Cross multiply
    91,508x = 198,460 × 198,460
  4. Step 4: Simplify right side
    91,508x = 39,386,371,600
  5. Step 5: Solve for x
    x = 39,386,371,600/91,508
  6. Step 6: Final answer
    x = 430,414.52

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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.