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Finding the Third Proportional to 136.31 and 294.19

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Solution

The third proportional to 136.31 and 294.19 is: 634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 294.19 = 294.19 : x
  2. Step 2: Convert to fraction form
    136.31/294.19 = 294.19/x
  3. Step 3: Cross multiply
    136.31x = 294.19 × 294.19
  4. Step 4: Simplify right side
    136.31x = 86,546.29
  5. Step 5: Solve for x
    x = 86,546.29/136.31
  6. Step 6: Final answer
    x = 634.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.