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Finding the Third Proportional to 809.25 and 1,780.50

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Solution

The third proportional to 809.25 and 1,780.50 is: 3,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.25 : 1,780.50 = 1,780.50 : x
  2. Step 2: Convert to fraction form
    809.25/1,780.50 = 1,780.50/x
  3. Step 3: Cross multiply
    809.25x = 1,780.50 × 1,780.50
  4. Step 4: Simplify right side
    809.25x = 3,170,180.25
  5. Step 5: Solve for x
    x = 3,170,180.25/809.25
  6. Step 6: Final answer
    x = 3,917.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.