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Finding the Third Proportional to 158.16 and 231.80

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Solution

The third proportional to 158.16 and 231.80 is: 339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.16 : 231.80 = 231.80 : x
  2. Step 2: Convert to fraction form
    158.16/231.80 = 231.80/x
  3. Step 3: Cross multiply
    158.16x = 231.80 × 231.80
  4. Step 4: Simplify right side
    158.16x = 53,729.79
  5. Step 5: Solve for x
    x = 53,729.79/158.16
  6. Step 6: Final answer
    x = 339.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.