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Finding the Third Proportional to 160.88 and 256.38

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Solution

The third proportional to 160.88 and 256.38 is: 408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 256.38 = 256.38 : x
  2. Step 2: Convert to fraction form
    160.88/256.38 = 256.38/x
  3. Step 3: Cross multiply
    160.88x = 256.38 × 256.38
  4. Step 4: Simplify right side
    160.88x = 65,728.14
  5. Step 5: Solve for x
    x = 65,728.14/160.88
  6. Step 6: Final answer
    x = 408.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.