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Finding the Third Proportional to 140.96 and 332.11

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Solution

The third proportional to 140.96 and 332.11 is: 782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 332.11 = 332.11 : x
  2. Step 2: Convert to fraction form
    140.96/332.11 = 332.11/x
  3. Step 3: Cross multiply
    140.96x = 332.11 × 332.11
  4. Step 4: Simplify right side
    140.96x = 110,295.66
  5. Step 5: Solve for x
    x = 110,295.66/140.96
  6. Step 6: Final answer
    x = 782.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.