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Finding the Third Proportional to 112.75 and 269.19

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Solution

The third proportional to 112.75 and 269.19 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 269.19 = 269.19 : x
  2. Step 2: Convert to fraction form
    112.75/269.19 = 269.19/x
  3. Step 3: Cross multiply
    112.75x = 269.19 × 269.19
  4. Step 4: Simplify right side
    112.75x = 72,461.91
  5. Step 5: Solve for x
    x = 72,461.91/112.75
  6. Step 6: Final answer
    x = 642.68

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.