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Finding the Third Proportional to 281.92 and 563.84

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Solution

The third proportional to 281.92 and 563.84 is: 1,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 563.84 = 563.84 : x
  2. Step 2: Convert to fraction form
    281.92/563.84 = 563.84/x
  3. Step 3: Cross multiply
    281.92x = 563.84 × 563.84
  4. Step 4: Simplify right side
    281.92x = 317,910.96
  5. Step 5: Solve for x
    x = 317,910.96/281.92
  6. Step 6: Final answer
    x = 1,127.67

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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.