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Finding the Third Proportional to 217,799.25 and 329,982.75

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Solution

The third proportional to 217,799.25 and 329,982.75 is: 499,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,799.25 : 329,982.75 = 329,982.75 : x
  2. Step 2: Convert to fraction form
    217,799.25/329,982.75 = 329,982.75/x
  3. Step 3: Cross multiply
    217,799.25x = 329,982.75 × 329,982.75
  4. Step 4: Simplify right side
    217,799.25x = 108,888,615,297.56
  5. Step 5: Solve for x
    x = 108,888,615,297.56/217,799.25
  6. Step 6: Final answer
    x = 499,949.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.