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Finding the Third Proportional to 138,802 and 298,652

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Solution

The third proportional to 138,802 and 298,652 is: 642,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802 : 298,652 = 298,652 : x
  2. Step 2: Convert to fraction form
    138,802/298,652 = 298,652/x
  3. Step 3: Cross multiply
    138,802x = 298,652 × 298,652
  4. Step 4: Simplify right side
    138,802x = 89,193,017,104
  5. Step 5: Solve for x
    x = 89,193,017,104/138,802
  6. Step 6: Final answer
    x = 642,591.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.