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Finding the Third Proportional to 3,102.38 and 6,750.75

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Solution

The third proportional to 3,102.38 and 6,750.75 is: 14,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.38 : 6,750.75 = 6,750.75 : x
  2. Step 2: Convert to fraction form
    3,102.38/6,750.75 = 6,750.75/x
  3. Step 3: Cross multiply
    3,102.38x = 6,750.75 × 6,750.75
  4. Step 4: Simplify right side
    3,102.38x = 45,572,625.56
  5. Step 5: Solve for x
    x = 45,572,625.56/3,102.38
  6. Step 6: Final answer
    x = 14,689.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.