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Finding the Third Proportional to 817.80 and 1,660.92

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Solution

The third proportional to 817.80 and 1,660.92 is: 3,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.80 : 1,660.92 = 1,660.92 : x
  2. Step 2: Convert to fraction form
    817.80/1,660.92 = 1,660.92/x
  3. Step 3: Cross multiply
    817.80x = 1,660.92 × 1,660.92
  4. Step 4: Simplify right side
    817.80x = 2,758,661.47
  5. Step 5: Solve for x
    x = 2,758,661.47/817.80
  6. Step 6: Final answer
    x = 3,373.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.