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Finding the Third Proportional to 136.37 and 294.54

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Solution

The third proportional to 136.37 and 294.54 is: 636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 294.54 = 294.54 : x
  2. Step 2: Convert to fraction form
    136.37/294.54 = 294.54/x
  3. Step 3: Cross multiply
    136.37x = 294.54 × 294.54
  4. Step 4: Simplify right side
    136.37x = 86,753.26
  5. Step 5: Solve for x
    x = 86,753.26/136.37
  6. Step 6: Final answer
    x = 636.16

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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.