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Finding the Third Proportional to 817.80 and 1,788.33

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Solution

The third proportional to 817.80 and 1,788.33 is: 3,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.80 : 1,788.33 = 1,788.33 : x
  2. Step 2: Convert to fraction form
    817.80/1,788.33 = 1,788.33/x
  3. Step 3: Cross multiply
    817.80x = 1,788.33 × 1,788.33
  4. Step 4: Simplify right side
    817.80x = 3,198,117.48
  5. Step 5: Solve for x
    x = 3,198,117.48/817.80
  6. Step 6: Final answer
    x = 3,910.61

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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.