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Finding the Third Proportional to 231.40 and 340.24

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Solution

The third proportional to 231.40 and 340.24 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.40 : 340.24 = 340.24 : x
  2. Step 2: Convert to fraction form
    231.40/340.24 = 340.24/x
  3. Step 3: Cross multiply
    231.40x = 340.24 × 340.24
  4. Step 4: Simplify right side
    231.40x = 115,764.75
  5. Step 5: Solve for x
    x = 115,764.75/231.40
  6. Step 6: Final answer
    x = 500.28

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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.