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Finding the Third Proportional to 4,143.09 and 8,947.97

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Solution

The third proportional to 4,143.09 and 8,947.97 is: 19,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.09 : 8,947.97 = 8,947.97 : x
  2. Step 2: Convert to fraction form
    4,143.09/8,947.97 = 8,947.97/x
  3. Step 3: Cross multiply
    4,143.09x = 8,947.97 × 8,947.97
  4. Step 4: Simplify right side
    4,143.09x = 80,066,144.75
  5. Step 5: Solve for x
    x = 80,066,144.75/4,143.09
  6. Step 6: Final answer
    x = 19,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.