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Finding the Third Proportional to 136.76 and 295.10

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Solution

The third proportional to 136.76 and 295.10 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.76 : 295.10 = 295.10 : x
  2. Step 2: Convert to fraction form
    136.76/295.10 = 295.10/x
  3. Step 3: Cross multiply
    136.76x = 295.10 × 295.10
  4. Step 4: Simplify right side
    136.76x = 87,084.93
  5. Step 5: Solve for x
    x = 87,084.93/136.76
  6. Step 6: Final answer
    x = 636.78

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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.