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Finding the Third Proportional to 2,101.78 and 3,296.95

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Solution

The third proportional to 2,101.78 and 3,296.95 is: 5,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.78 : 3,296.95 = 3,296.95 : x
  2. Step 2: Convert to fraction form
    2,101.78/3,296.95 = 3,296.95/x
  3. Step 3: Cross multiply
    2,101.78x = 3,296.95 × 3,296.95
  4. Step 4: Simplify right side
    2,101.78x = 10,869,899.91
  5. Step 5: Solve for x
    x = 10,869,899.91/2,101.78
  6. Step 6: Final answer
    x = 5,171.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.