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Finding the Third Proportional to 3,799.50 and 6,306.75

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Solution

The third proportional to 3,799.50 and 6,306.75 is: 10,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.50 : 6,306.75 = 6,306.75 : x
  2. Step 2: Convert to fraction form
    3,799.50/6,306.75 = 6,306.75/x
  3. Step 3: Cross multiply
    3,799.50x = 6,306.75 × 6,306.75
  4. Step 4: Simplify right side
    3,799.50x = 39,775,095.56
  5. Step 5: Solve for x
    x = 39,775,095.56/3,799.50
  6. Step 6: Final answer
    x = 10,468.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.