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Finding the Third Proportional to 3,184.31 and 4,278.66

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Solution

The third proportional to 3,184.31 and 4,278.66 is: 5,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.31 : 4,278.66 = 4,278.66 : x
  2. Step 2: Convert to fraction form
    3,184.31/4,278.66 = 4,278.66/x
  3. Step 3: Cross multiply
    3,184.31x = 4,278.66 × 4,278.66
  4. Step 4: Simplify right side
    3,184.31x = 18,306,899.31
  5. Step 5: Solve for x
    x = 18,306,899.31/3,184.31
  6. Step 6: Final answer
    x = 5,749.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.