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Finding the Third Proportional to 2,687.13 and 4,071.27

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Solution

The third proportional to 2,687.13 and 4,071.27 is: 6,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.13 : 4,071.27 = 4,071.27 : x
  2. Step 2: Convert to fraction form
    2,687.13/4,071.27 = 4,071.27/x
  3. Step 3: Cross multiply
    2,687.13x = 4,071.27 × 4,071.27
  4. Step 4: Simplify right side
    2,687.13x = 16,575,235.60
  5. Step 5: Solve for x
    x = 16,575,235.60/2,687.13
  6. Step 6: Final answer
    x = 6,168.37

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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.