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Finding the Third Proportional to 218.13 and 256.38

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Solution

The third proportional to 218.13 and 256.38 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 256.38 = 256.38 : x
  2. Step 2: Convert to fraction form
    218.13/256.38 = 256.38/x
  3. Step 3: Cross multiply
    218.13x = 256.38 × 256.38
  4. Step 4: Simplify right side
    218.13x = 65,728.14
  5. Step 5: Solve for x
    x = 65,728.14/218.13
  6. Step 6: Final answer
    x = 301.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.