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Finding the Third Proportional to 427,486 and 667,109

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Solution

The third proportional to 427,486 and 667,109 is: 1,041,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,486 : 667,109 = 667,109 : x
  2. Step 2: Convert to fraction form
    427,486/667,109 = 667,109/x
  3. Step 3: Cross multiply
    427,486x = 667,109 × 667,109
  4. Step 4: Simplify right side
    427,486x = 445,034,417,881
  5. Step 5: Solve for x
    x = 445,034,417,881/427,486
  6. Step 6: Final answer
    x = 1,041,050.28

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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.