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Finding the Third Proportional to 729.56 and 1,687.22

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Solution

The third proportional to 729.56 and 1,687.22 is: 3,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,687.22 = 1,687.22 : x
  2. Step 2: Convert to fraction form
    729.56/1,687.22 = 1,687.22/x
  3. Step 3: Cross multiply
    729.56x = 1,687.22 × 1,687.22
  4. Step 4: Simplify right side
    729.56x = 2,846,707.11
  5. Step 5: Solve for x
    x = 2,846,707.11/729.56
  6. Step 6: Final answer
    x = 3,901.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.