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Finding the Third Proportional to 128,217 and 332,845

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Solution

The third proportional to 128,217 and 332,845 is: 864,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,217 : 332,845 = 332,845 : x
  2. Step 2: Convert to fraction form
    128,217/332,845 = 332,845/x
  3. Step 3: Cross multiply
    128,217x = 332,845 × 332,845
  4. Step 4: Simplify right side
    128,217x = 110,785,794,025
  5. Step 5: Solve for x
    x = 110,785,794,025/128,217
  6. Step 6: Final answer
    x = 864,049.18

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.