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Finding the Third Proportional to 1,747.20 and 3,753.21

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Solution

The third proportional to 1,747.20 and 3,753.21 is: 8,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.20 : 3,753.21 = 3,753.21 : x
  2. Step 2: Convert to fraction form
    1,747.20/3,753.21 = 3,753.21/x
  3. Step 3: Cross multiply
    1,747.20x = 3,753.21 × 3,753.21
  4. Step 4: Simplify right side
    1,747.20x = 14,086,592.34
  5. Step 5: Solve for x
    x = 14,086,592.34/1,747.20
  6. Step 6: Final answer
    x = 8,062.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.