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Finding the Third Proportional to 3,947.63 and 8,689.88

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Solution

The third proportional to 3,947.63 and 8,689.88 is: 19,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.63 : 8,689.88 = 8,689.88 : x
  2. Step 2: Convert to fraction form
    3,947.63/8,689.88 = 8,689.88/x
  3. Step 3: Cross multiply
    3,947.63x = 8,689.88 × 8,689.88
  4. Step 4: Simplify right side
    3,947.63x = 75,513,927.52
  5. Step 5: Solve for x
    x = 75,513,927.52/3,947.63
  6. Step 6: Final answer
    x = 19,128.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.