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Finding the Third Proportional to 231.42 and 358.97

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Solution

The third proportional to 231.42 and 358.97 is: 556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 358.97 = 358.97 : x
  2. Step 2: Convert to fraction form
    231.42/358.97 = 358.97/x
  3. Step 3: Cross multiply
    231.42x = 358.97 × 358.97
  4. Step 4: Simplify right side
    231.42x = 128,858.56
  5. Step 5: Solve for x
    x = 128,858.56/231.42
  6. Step 6: Final answer
    x = 556.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.