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Finding the Third Proportional to 400.38 and 710.75

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Solution

The third proportional to 400.38 and 710.75 is: 1,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.38 : 710.75 = 710.75 : x
  2. Step 2: Convert to fraction form
    400.38/710.75 = 710.75/x
  3. Step 3: Cross multiply
    400.38x = 710.75 × 710.75
  4. Step 4: Simplify right side
    400.38x = 505,165.56
  5. Step 5: Solve for x
    x = 505,165.56/400.38
  6. Step 6: Final answer
    x = 1,261.73

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.