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Finding the Third Proportional to 731.38 and 1,550.38

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Solution

The third proportional to 731.38 and 1,550.38 is: 3,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.38 : 1,550.38 = 1,550.38 : x
  2. Step 2: Convert to fraction form
    731.38/1,550.38 = 1,550.38/x
  3. Step 3: Cross multiply
    731.38x = 1,550.38 × 1,550.38
  4. Step 4: Simplify right side
    731.38x = 2,403,662.64
  5. Step 5: Solve for x
    x = 2,403,662.64/731.38
  6. Step 6: Final answer
    x = 3,286.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.