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Finding the Third Proportional to 158.13 and 340.19

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Solution

The third proportional to 158.13 and 340.19 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.13 : 340.19 = 340.19 : x
  2. Step 2: Convert to fraction form
    158.13/340.19 = 340.19/x
  3. Step 3: Cross multiply
    158.13x = 340.19 × 340.19
  4. Step 4: Simplify right side
    158.13x = 115,727.54
  5. Step 5: Solve for x
    x = 115,727.54/158.13
  6. Step 6: Final answer
    x = 731.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.