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Finding the Third Proportional to 427,487 and 667,110

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Solution

The third proportional to 427,487 and 667,110 is: 1,041,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,487 : 667,110 = 667,110 : x
  2. Step 2: Convert to fraction form
    427,487/667,110 = 667,110/x
  3. Step 3: Cross multiply
    427,487x = 667,110 × 667,110
  4. Step 4: Simplify right side
    427,487x = 445,035,752,100
  5. Step 5: Solve for x
    x = 445,035,752,100/427,487
  6. Step 6: Final answer
    x = 1,041,050.96

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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.