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Finding the Third Proportional to 136.88 and 295.69

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Solution

The third proportional to 136.88 and 295.69 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.88 : 295.69 = 295.69 : x
  2. Step 2: Convert to fraction form
    136.88/295.69 = 295.69/x
  3. Step 3: Cross multiply
    136.88x = 295.69 × 295.69
  4. Step 4: Simplify right side
    136.88x = 87,431.10
  5. Step 5: Solve for x
    x = 87,431.10/136.88
  6. Step 6: Final answer
    x = 638.77

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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.