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Finding the Third Proportional to 2,112.75 and 2,877.19

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Solution

The third proportional to 2,112.75 and 2,877.19 is: 3,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.75 : 2,877.19 = 2,877.19 : x
  2. Step 2: Convert to fraction form
    2,112.75/2,877.19 = 2,877.19/x
  3. Step 3: Cross multiply
    2,112.75x = 2,877.19 × 2,877.19
  4. Step 4: Simplify right side
    2,112.75x = 8,278,207.91
  5. Step 5: Solve for x
    x = 8,278,207.91/2,112.75
  6. Step 6: Final answer
    x = 3,918.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.