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Finding the Third Proportional to 806.30 and 1,766.39

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Solution

The third proportional to 806.30 and 1,766.39 is: 3,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.30 : 1,766.39 = 1,766.39 : x
  2. Step 2: Convert to fraction form
    806.30/1,766.39 = 1,766.39/x
  3. Step 3: Cross multiply
    806.30x = 1,766.39 × 1,766.39
  4. Step 4: Simplify right side
    806.30x = 3,120,135.84
  5. Step 5: Solve for x
    x = 3,120,135.84/806.30
  6. Step 6: Final answer
    x = 3,869.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.