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Finding the Third Proportional to 754.31 and 1,142.65

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Solution

The third proportional to 754.31 and 1,142.65 is: 1,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.31 : 1,142.65 = 1,142.65 : x
  2. Step 2: Convert to fraction form
    754.31/1,142.65 = 1,142.65/x
  3. Step 3: Cross multiply
    754.31x = 1,142.65 × 1,142.65
  4. Step 4: Simplify right side
    754.31x = 1,305,645.45
  5. Step 5: Solve for x
    x = 1,305,645.45/754.31
  6. Step 6: Final answer
    x = 1,730.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.