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Finding the Third Proportional to 231.05 and 512.86

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Solution

The third proportional to 231.05 and 512.86 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 512.86 = 512.86 : x
  2. Step 2: Convert to fraction form
    231.05/512.86 = 512.86/x
  3. Step 3: Cross multiply
    231.05x = 512.86 × 512.86
  4. Step 4: Simplify right side
    231.05x = 263,024.74
  5. Step 5: Solve for x
    x = 263,024.74/231.05
  6. Step 6: Final answer
    x = 1,138.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.