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Finding the Third Proportional to 257.16 and 397.78

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Solution

The third proportional to 257.16 and 397.78 is: 615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 397.78 = 397.78 : x
  2. Step 2: Convert to fraction form
    257.16/397.78 = 397.78/x
  3. Step 3: Cross multiply
    257.16x = 397.78 × 397.78
  4. Step 4: Simplify right side
    257.16x = 158,229.92
  5. Step 5: Solve for x
    x = 158,229.92/257.16
  6. Step 6: Final answer
    x = 615.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.