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Finding the Third Proportional to 2,742.29 and 3,138.12

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Solution

The third proportional to 2,742.29 and 3,138.12 is: 3,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.29 : 3,138.12 = 3,138.12 : x
  2. Step 2: Convert to fraction form
    2,742.29/3,138.12 = 3,138.12/x
  3. Step 3: Cross multiply
    2,742.29x = 3,138.12 × 3,138.12
  4. Step 4: Simplify right side
    2,742.29x = 9,847,779.48
  5. Step 5: Solve for x
    x = 9,847,779.48/2,742.29
  6. Step 6: Final answer
    x = 3,591.07

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.