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Finding the Third Proportional to 251.06 and 285.38

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Solution

The third proportional to 251.06 and 285.38 is: 324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.06 : 285.38 = 285.38 : x
  2. Step 2: Convert to fraction form
    251.06/285.38 = 285.38/x
  3. Step 3: Cross multiply
    251.06x = 285.38 × 285.38
  4. Step 4: Simplify right side
    251.06x = 81,438.89
  5. Step 5: Solve for x
    x = 81,438.89/251.06
  6. Step 6: Final answer
    x = 324.38

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.