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Finding the Third Proportional to 313,938 and 667,080

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Solution

The third proportional to 313,938 and 667,080 is: 1,417,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938 : 667,080 = 667,080 : x
  2. Step 2: Convert to fraction form
    313,938/667,080 = 667,080/x
  3. Step 3: Cross multiply
    313,938x = 667,080 × 667,080
  4. Step 4: Simplify right side
    313,938x = 444,995,726,400
  5. Step 5: Solve for x
    x = 444,995,726,400/313,938
  6. Step 6: Final answer
    x = 1,417,463.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.