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Finding the Third Proportional to 1,251.49 and 2,578.92

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Solution

The third proportional to 1,251.49 and 2,578.92 is: 5,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.49 : 2,578.92 = 2,578.92 : x
  2. Step 2: Convert to fraction form
    1,251.49/2,578.92 = 2,578.92/x
  3. Step 3: Cross multiply
    1,251.49x = 2,578.92 × 2,578.92
  4. Step 4: Simplify right side
    1,251.49x = 6,650,838.04
  5. Step 5: Solve for x
    x = 6,650,838.04/1,251.49
  6. Step 6: Final answer
    x = 5,314.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.