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Finding the Third Proportional to 138,894 and 298,884

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Solution

The third proportional to 138,894 and 298,884 is: 643,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894 : 298,884 = 298,884 : x
  2. Step 2: Convert to fraction form
    138,894/298,884 = 298,884/x
  3. Step 3: Cross multiply
    138,894x = 298,884 × 298,884
  4. Step 4: Simplify right side
    138,894x = 89,331,645,456
  5. Step 5: Solve for x
    x = 89,331,645,456/138,894
  6. Step 6: Final answer
    x = 643,164.18

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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.