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Finding the Third Proportional to 138,788 and 298,626

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Solution

The third proportional to 138,788 and 298,626 is: 642,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,788 : 298,626 = 298,626 : x
  2. Step 2: Convert to fraction form
    138,788/298,626 = 298,626/x
  3. Step 3: Cross multiply
    138,788x = 298,626 × 298,626
  4. Step 4: Simplify right side
    138,788x = 89,177,487,876
  5. Step 5: Solve for x
    x = 89,177,487,876/138,788
  6. Step 6: Final answer
    x = 642,544.66

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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.