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Finding the Third Proportional to 228.56 and 251.06

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Solution

The third proportional to 228.56 and 251.06 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 251.06 = 251.06 : x
  2. Step 2: Convert to fraction form
    228.56/251.06 = 251.06/x
  3. Step 3: Cross multiply
    228.56x = 251.06 × 251.06
  4. Step 4: Simplify right side
    228.56x = 63,032.38
  5. Step 5: Solve for x
    x = 63,032.38/228.56
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.