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Finding the Third Proportional to 259.75 and 400.42

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Solution

The third proportional to 259.75 and 400.42 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 400.42 = 400.42 : x
  2. Step 2: Convert to fraction form
    259.75/400.42 = 400.42/x
  3. Step 3: Cross multiply
    259.75x = 400.42 × 400.42
  4. Step 4: Simplify right side
    259.75x = 160,337.68
  5. Step 5: Solve for x
    x = 160,337.68/259.75
  6. Step 6: Final answer
    x = 617.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.