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Finding the Third Proportional to 3,959.63 and 8,472.75

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Solution

The third proportional to 3,959.63 and 8,472.75 is: 18,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.63 : 8,472.75 = 8,472.75 : x
  2. Step 2: Convert to fraction form
    3,959.63/8,472.75 = 8,472.75/x
  3. Step 3: Cross multiply
    3,959.63x = 8,472.75 × 8,472.75
  4. Step 4: Simplify right side
    3,959.63x = 71,787,492.56
  5. Step 5: Solve for x
    x = 71,787,492.56/3,959.63
  6. Step 6: Final answer
    x = 18,129.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.