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Finding the Third Proportional to 1,079.16 and 2,891.53

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Solution

The third proportional to 1,079.16 and 2,891.53 is: 7,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.16 : 2,891.53 = 2,891.53 : x
  2. Step 2: Convert to fraction form
    1,079.16/2,891.53 = 2,891.53/x
  3. Step 3: Cross multiply
    1,079.16x = 2,891.53 × 2,891.53
  4. Step 4: Simplify right side
    1,079.16x = 8,360,952.97
  5. Step 5: Solve for x
    x = 8,360,952.97/1,079.16
  6. Step 6: Final answer
    x = 7,747.68

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.