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Finding the Third Proportional to 3,145.71 and 4,085.44

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Solution

The third proportional to 3,145.71 and 4,085.44 is: 5,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.71 : 4,085.44 = 4,085.44 : x
  2. Step 2: Convert to fraction form
    3,145.71/4,085.44 = 4,085.44/x
  3. Step 3: Cross multiply
    3,145.71x = 4,085.44 × 4,085.44
  4. Step 4: Simplify right side
    3,145.71x = 16,690,799.57
  5. Step 5: Solve for x
    x = 16,690,799.57/3,145.71
  6. Step 6: Final answer
    x = 5,305.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.