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Finding the Third Proportional to 442,428.75 and 667,267.88

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Solution

The third proportional to 442,428.75 and 667,267.88 is: 1,006,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,428.75 : 667,267.88 = 667,267.88 : x
  2. Step 2: Convert to fraction form
    442,428.75/667,267.88 = 667,267.88/x
  3. Step 3: Cross multiply
    442,428.75x = 667,267.88 × 667,267.88
  4. Step 4: Simplify right side
    442,428.75x = 445,246,417,007.02
  5. Step 5: Solve for x
    x = 445,246,417,007.02/442,428.75
  6. Step 6: Final answer
    x = 1,006,368.63

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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.