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Finding the Third Proportional to 481.56 and 901.44

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Solution

The third proportional to 481.56 and 901.44 is: 1,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.56 : 901.44 = 901.44 : x
  2. Step 2: Convert to fraction form
    481.56/901.44 = 901.44/x
  3. Step 3: Cross multiply
    481.56x = 901.44 × 901.44
  4. Step 4: Simplify right side
    481.56x = 812,589.57
  5. Step 5: Solve for x
    x = 812,589.57/481.56
  6. Step 6: Final answer
    x = 1,687.40

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.