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Finding the Third Proportional to 2,911.58 and 4,115.92

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Solution

The third proportional to 2,911.58 and 4,115.92 is: 5,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.58 : 4,115.92 = 4,115.92 : x
  2. Step 2: Convert to fraction form
    2,911.58/4,115.92 = 4,115.92/x
  3. Step 3: Cross multiply
    2,911.58x = 4,115.92 × 4,115.92
  4. Step 4: Simplify right side
    2,911.58x = 16,940,812.88
  5. Step 5: Solve for x
    x = 16,940,812.88/2,911.58
  6. Step 6: Final answer
    x = 5,818.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.