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Finding the Third Proportional to 412.38 and 905.88

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Solution

The third proportional to 412.38 and 905.88 is: 1,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 905.88 = 905.88 : x
  2. Step 2: Convert to fraction form
    412.38/905.88 = 905.88/x
  3. Step 3: Cross multiply
    412.38x = 905.88 × 905.88
  4. Step 4: Simplify right side
    412.38x = 820,609.52
  5. Step 5: Solve for x
    x = 820,609.52/412.38
  6. Step 6: Final answer
    x = 1,989.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.