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Finding the Third Proportional to 419,418 and 667,035

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Solution

The third proportional to 419,418 and 667,035 is: 1,060,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,418 : 667,035 = 667,035 : x
  2. Step 2: Convert to fraction form
    419,418/667,035 = 667,035/x
  3. Step 3: Cross multiply
    419,418x = 667,035 × 667,035
  4. Step 4: Simplify right side
    419,418x = 444,935,691,225
  5. Step 5: Solve for x
    x = 444,935,691,225/419,418
  6. Step 6: Final answer
    x = 1,060,840.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.