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Finding the Third Proportional to 138,519 and 298,908

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Solution

The third proportional to 138,519 and 298,908 is: 645,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,519 : 298,908 = 298,908 : x
  2. Step 2: Convert to fraction form
    138,519/298,908 = 298,908/x
  3. Step 3: Cross multiply
    138,519x = 298,908 × 298,908
  4. Step 4: Simplify right side
    138,519x = 89,345,992,464
  5. Step 5: Solve for x
    x = 89,345,992,464/138,519
  6. Step 6: Final answer
    x = 645,008.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.