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Finding the Third Proportional to 3,806.84 and 5,678.70

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Solution

The third proportional to 3,806.84 and 5,678.70 is: 8,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.84 : 5,678.70 = 5,678.70 : x
  2. Step 2: Convert to fraction form
    3,806.84/5,678.70 = 5,678.70/x
  3. Step 3: Cross multiply
    3,806.84x = 5,678.70 × 5,678.70
  4. Step 4: Simplify right side
    3,806.84x = 32,247,647.00
  5. Step 5: Solve for x
    x = 32,247,647.00/3,806.84
  6. Step 6: Final answer
    x = 8,470.97

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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.