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Finding the Third Proportional to 442,858 and 664,171

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Solution

The third proportional to 442,858 and 664,171 is: 996,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858 : 664,171 = 664,171 : x
  2. Step 2: Convert to fraction form
    442,858/664,171 = 664,171/x
  3. Step 3: Cross multiply
    442,858x = 664,171 × 664,171
  4. Step 4: Simplify right side
    442,858x = 441,123,117,241
  5. Step 5: Solve for x
    x = 441,123,117,241/442,858
  6. Step 6: Final answer
    x = 996,082.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.