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Finding the Third Proportional to 754.69 and 1,651.31

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Solution

The third proportional to 754.69 and 1,651.31 is: 3,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.69 : 1,651.31 = 1,651.31 : x
  2. Step 2: Convert to fraction form
    754.69/1,651.31 = 1,651.31/x
  3. Step 3: Cross multiply
    754.69x = 1,651.31 × 1,651.31
  4. Step 4: Simplify right side
    754.69x = 2,726,832.97
  5. Step 5: Solve for x
    x = 2,726,832.97/754.69
  6. Step 6: Final answer
    x = 3,613.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.