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Finding the Third Proportional to 157.56 and 231.06

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Solution

The third proportional to 157.56 and 231.06 is: 338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 231.06 = 231.06 : x
  2. Step 2: Convert to fraction form
    157.56/231.06 = 231.06/x
  3. Step 3: Cross multiply
    157.56x = 231.06 × 231.06
  4. Step 4: Simplify right side
    157.56x = 53,389.88
  5. Step 5: Solve for x
    x = 53,389.88/157.56
  6. Step 6: Final answer
    x = 338.85

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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.