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Finding the Third Proportional to 806.31 and 1,766.29

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Solution

The third proportional to 806.31 and 1,766.29 is: 3,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.31 : 1,766.29 = 1,766.29 : x
  2. Step 2: Convert to fraction form
    806.31/1,766.29 = 1,766.29/x
  3. Step 3: Cross multiply
    806.31x = 1,766.29 × 1,766.29
  4. Step 4: Simplify right side
    806.31x = 3,119,763.25
  5. Step 5: Solve for x
    x = 3,119,763.25/806.31
  6. Step 6: Final answer
    x = 3,869.19

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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.