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Finding the Third Proportional to 442,323 and 667,149.75

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Solution

The third proportional to 442,323 and 667,149.75 is: 1,006,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,323 : 667,149.75 = 667,149.75 : x
  2. Step 2: Convert to fraction form
    442,323/667,149.75 = 667,149.75/x
  3. Step 3: Cross multiply
    442,323x = 667,149.75 × 667,149.75
  4. Step 4: Simplify right side
    442,323x = 445,088,788,925.06
  5. Step 5: Solve for x
    x = 445,088,788,925.06/442,323
  6. Step 6: Final answer
    x = 1,006,252.87

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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.