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Finding the Third Proportional to 427,472 and 667,087

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Solution

The third proportional to 427,472 and 667,087 is: 1,041,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,472 : 667,087 = 667,087 : x
  2. Step 2: Convert to fraction form
    427,472/667,087 = 667,087/x
  3. Step 3: Cross multiply
    427,472x = 667,087 × 667,087
  4. Step 4: Simplify right side
    427,472x = 445,005,065,569
  5. Step 5: Solve for x
    x = 445,005,065,569/427,472
  6. Step 6: Final answer
    x = 1,041,015.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.