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Finding the Third Proportional to 140.96 and 281.92

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Solution

The third proportional to 140.96 and 281.92 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 281.92 = 281.92 : x
  2. Step 2: Convert to fraction form
    140.96/281.92 = 281.92/x
  3. Step 3: Cross multiply
    140.96x = 281.92 × 281.92
  4. Step 4: Simplify right side
    140.96x = 79,477.74
  5. Step 5: Solve for x
    x = 79,477.74/140.96
  6. Step 6: Final answer
    x = 563.84

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.