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Finding the Third Proportional to 231.84 and 307.78

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Solution

The third proportional to 231.84 and 307.78 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 307.78 = 307.78 : x
  2. Step 2: Convert to fraction form
    231.84/307.78 = 307.78/x
  3. Step 3: Cross multiply
    231.84x = 307.78 × 307.78
  4. Step 4: Simplify right side
    231.84x = 94,729.30
  5. Step 5: Solve for x
    x = 94,729.30/231.84
  6. Step 6: Final answer
    x = 408.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.