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Finding the Third Proportional to 389,624 and 584,436

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Solution

The third proportional to 389,624 and 584,436 is: 876,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,624 : 584,436 = 584,436 : x
  2. Step 2: Convert to fraction form
    389,624/584,436 = 584,436/x
  3. Step 3: Cross multiply
    389,624x = 584,436 × 584,436
  4. Step 4: Simplify right side
    389,624x = 341,565,438,096
  5. Step 5: Solve for x
    x = 341,565,438,096/389,624
  6. Step 6: Final answer
    x = 876,654

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.