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Finding the Third Proportional to 216.42 and 275.06

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Solution

The third proportional to 216.42 and 275.06 is: 349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 275.06 = 275.06 : x
  2. Step 2: Convert to fraction form
    216.42/275.06 = 275.06/x
  3. Step 3: Cross multiply
    216.42x = 275.06 × 275.06
  4. Step 4: Simplify right side
    216.42x = 75,659.38
  5. Step 5: Solve for x
    x = 75,659.38/216.42
  6. Step 6: Final answer
    x = 349.59

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.