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Finding the Third Proportional to 136.97 and 300.45

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Solution

The third proportional to 136.97 and 300.45 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 300.45 = 300.45 : x
  2. Step 2: Convert to fraction form
    136.97/300.45 = 300.45/x
  3. Step 3: Cross multiply
    136.97x = 300.45 × 300.45
  4. Step 4: Simplify right side
    136.97x = 90,267.39
  5. Step 5: Solve for x
    x = 90,267.39/136.97
  6. Step 6: Final answer
    x = 659.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.