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Finding the Third Proportional to 138,884 and 298,864

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Solution

The third proportional to 138,884 and 298,864 is: 643,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,884 : 298,864 = 298,864 : x
  2. Step 2: Convert to fraction form
    138,884/298,864 = 298,864/x
  3. Step 3: Cross multiply
    138,884x = 298,864 × 298,864
  4. Step 4: Simplify right side
    138,884x = 89,319,690,496
  5. Step 5: Solve for x
    x = 89,319,690,496/138,884
  6. Step 6: Final answer
    x = 643,124.41

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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.