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Finding the Third Proportional to 438.38 and 943.78

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Solution

The third proportional to 438.38 and 943.78 is: 2,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.38 : 943.78 = 943.78 : x
  2. Step 2: Convert to fraction form
    438.38/943.78 = 943.78/x
  3. Step 3: Cross multiply
    438.38x = 943.78 × 943.78
  4. Step 4: Simplify right side
    438.38x = 890,723.05
  5. Step 5: Solve for x
    x = 890,723.05/438.38
  6. Step 6: Final answer
    x = 2,031.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.