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Finding the Third Proportional to 3,162.38 and 6,919.31

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Solution

The third proportional to 3,162.38 and 6,919.31 is: 15,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.38 : 6,919.31 = 6,919.31 : x
  2. Step 2: Convert to fraction form
    3,162.38/6,919.31 = 6,919.31/x
  3. Step 3: Cross multiply
    3,162.38x = 6,919.31 × 6,919.31
  4. Step 4: Simplify right side
    3,162.38x = 47,876,885.47
  5. Step 5: Solve for x
    x = 47,876,885.47/3,162.38
  6. Step 6: Final answer
    x = 15,139.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.