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Finding the Third Proportional to 1,129.03 and 2,719.78

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Solution

The third proportional to 1,129.03 and 2,719.78 is: 6,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.03 : 2,719.78 = 2,719.78 : x
  2. Step 2: Convert to fraction form
    1,129.03/2,719.78 = 2,719.78/x
  3. Step 3: Cross multiply
    1,129.03x = 2,719.78 × 2,719.78
  4. Step 4: Simplify right side
    1,129.03x = 7,397,210.05
  5. Step 5: Solve for x
    x = 7,397,210.05/1,129.03
  6. Step 6: Final answer
    x = 6,551.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.