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Finding the Third Proportional to 132,729.75 and 288,785.25

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Solution

The third proportional to 132,729.75 and 288,785.25 is: 628,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,729.75 : 288,785.25 = 288,785.25 : x
  2. Step 2: Convert to fraction form
    132,729.75/288,785.25 = 288,785.25/x
  3. Step 3: Cross multiply
    132,729.75x = 288,785.25 × 288,785.25
  4. Step 4: Simplify right side
    132,729.75x = 83,396,920,617.56
  5. Step 5: Solve for x
    x = 83,396,920,617.56/132,729.75
  6. Step 6: Final answer
    x = 628,321.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.