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Finding the Third Proportional to 842.48 and 1,781.16

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Solution

The third proportional to 842.48 and 1,781.16 is: 3,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.48 : 1,781.16 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    842.48/1,781.16 = 1,781.16/x
  3. Step 3: Cross multiply
    842.48x = 1,781.16 × 1,781.16
  4. Step 4: Simplify right side
    842.48x = 3,172,517.59
  5. Step 5: Solve for x
    x = 3,172,517.59/842.48
  6. Step 6: Final answer
    x = 3,765.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.