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Finding the Third Proportional to 259.78 and 400.53

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Solution

The third proportional to 259.78 and 400.53 is: 617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 400.53 = 400.53 : x
  2. Step 2: Convert to fraction form
    259.78/400.53 = 400.53/x
  3. Step 3: Cross multiply
    259.78x = 400.53 × 400.53
  4. Step 4: Simplify right side
    259.78x = 160,425.28
  5. Step 5: Solve for x
    x = 160,425.28/259.78
  6. Step 6: Final answer
    x = 617.54

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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.