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Finding the Third Proportional to 198,394 and 283,591

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Solution

The third proportional to 198,394 and 283,591 is: 405,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,394 : 283,591 = 283,591 : x
  2. Step 2: Convert to fraction form
    198,394/283,591 = 283,591/x
  3. Step 3: Cross multiply
    198,394x = 283,591 × 283,591
  4. Step 4: Simplify right side
    198,394x = 80,423,855,281
  5. Step 5: Solve for x
    x = 80,423,855,281/198,394
  6. Step 6: Final answer
    x = 405,374.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.