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Finding the Third Proportional to 160.25 and 249.56

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Solution

The third proportional to 160.25 and 249.56 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.25 : 249.56 = 249.56 : x
  2. Step 2: Convert to fraction form
    160.25/249.56 = 249.56/x
  3. Step 3: Cross multiply
    160.25x = 249.56 × 249.56
  4. Step 4: Simplify right side
    160.25x = 62,281.44
  5. Step 5: Solve for x
    x = 62,281.44/160.25
  6. Step 6: Final answer
    x = 388.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.