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Finding the Third Proportional to 236.74 and 269.96

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Solution

The third proportional to 236.74 and 269.96 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.74 : 269.96 = 269.96 : x
  2. Step 2: Convert to fraction form
    236.74/269.96 = 269.96/x
  3. Step 3: Cross multiply
    236.74x = 269.96 × 269.96
  4. Step 4: Simplify right side
    236.74x = 72,881.02
  5. Step 5: Solve for x
    x = 72,881.02/236.74
  6. Step 6: Final answer
    x = 307.85

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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.