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Finding the Third Proportional to 425,440 and 639,452

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Solution

The third proportional to 425,440 and 639,452 is: 961,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,440 : 639,452 = 639,452 : x
  2. Step 2: Convert to fraction form
    425,440/639,452 = 639,452/x
  3. Step 3: Cross multiply
    425,440x = 639,452 × 639,452
  4. Step 4: Simplify right side
    425,440x = 408,898,860,304
  5. Step 5: Solve for x
    x = 408,898,860,304/425,440
  6. Step 6: Final answer
    x = 961,119.92

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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.