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Finding the Third Proportional to 158.13 and 213.19

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Solution

The third proportional to 158.13 and 213.19 is: 287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.13 : 213.19 = 213.19 : x
  2. Step 2: Convert to fraction form
    158.13/213.19 = 213.19/x
  3. Step 3: Cross multiply
    158.13x = 213.19 × 213.19
  4. Step 4: Simplify right side
    158.13x = 45,448.91
  5. Step 5: Solve for x
    x = 45,448.91/158.13
  6. Step 6: Final answer
    x = 287.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.