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Finding the Third Proportional to 198,508 and 307,453

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Solution

The third proportional to 198,508 and 307,453 is: 476,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,508 : 307,453 = 307,453 : x
  2. Step 2: Convert to fraction form
    198,508/307,453 = 307,453/x
  3. Step 3: Cross multiply
    198,508x = 307,453 × 307,453
  4. Step 4: Simplify right side
    198,508x = 94,527,347,209
  5. Step 5: Solve for x
    x = 94,527,347,209/198,508
  6. Step 6: Final answer
    x = 476,189.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.