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Finding the Third Proportional to 442,318 and 667,143

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Solution

The third proportional to 442,318 and 667,143 is: 1,006,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,318 : 667,143 = 667,143 : x
  2. Step 2: Convert to fraction form
    442,318/667,143 = 667,143/x
  3. Step 3: Cross multiply
    442,318x = 667,143 × 667,143
  4. Step 4: Simplify right side
    442,318x = 445,079,782,449
  5. Step 5: Solve for x
    x = 445,079,782,449/442,318
  6. Step 6: Final answer
    x = 1,006,243.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.