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Finding the Third Proportional to 454,126 and 687,479

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Solution

The third proportional to 454,126 and 687,479 is: 1,040,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,126 : 687,479 = 687,479 : x
  2. Step 2: Convert to fraction form
    454,126/687,479 = 687,479/x
  3. Step 3: Cross multiply
    454,126x = 687,479 × 687,479
  4. Step 4: Simplify right side
    454,126x = 472,627,375,441
  5. Step 5: Solve for x
    x = 472,627,375,441/454,126
  6. Step 6: Final answer
    x = 1,040,740.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.