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Finding the Third Proportional to 2,139.66 and 3,195.14

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Solution

The third proportional to 2,139.66 and 3,195.14 is: 4,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.66 : 3,195.14 = 3,195.14 : x
  2. Step 2: Convert to fraction form
    2,139.66/3,195.14 = 3,195.14/x
  3. Step 3: Cross multiply
    2,139.66x = 3,195.14 × 3,195.14
  4. Step 4: Simplify right side
    2,139.66x = 10,208,923.61
  5. Step 5: Solve for x
    x = 10,208,923.61/2,139.66
  6. Step 6: Final answer
    x = 4,771.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.