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Finding the Third Proportional to 1,711.97 and 4,112.86

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Solution

The third proportional to 1,711.97 and 4,112.86 is: 9,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.97 : 4,112.86 = 4,112.86 : x
  2. Step 2: Convert to fraction form
    1,711.97/4,112.86 = 4,112.86/x
  3. Step 3: Cross multiply
    1,711.97x = 4,112.86 × 4,112.86
  4. Step 4: Simplify right side
    1,711.97x = 16,915,612.24
  5. Step 5: Solve for x
    x = 16,915,612.24/1,711.97
  6. Step 6: Final answer
    x = 9,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.