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Finding the Third Proportional to 2,687.55 and 4,077.21

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Solution

The third proportional to 2,687.55 and 4,077.21 is: 6,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.55 : 4,077.21 = 4,077.21 : x
  2. Step 2: Convert to fraction form
    2,687.55/4,077.21 = 4,077.21/x
  3. Step 3: Cross multiply
    2,687.55x = 4,077.21 × 4,077.21
  4. Step 4: Simplify right side
    2,687.55x = 16,623,649.03
  5. Step 5: Solve for x
    x = 16,623,649.03/2,687.55
  6. Step 6: Final answer
    x = 6,185.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.