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Finding the Third Proportional to 138,622 and 208,919

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Solution

The third proportional to 138,622 and 208,919 is: 314,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,622 : 208,919 = 208,919 : x
  2. Step 2: Convert to fraction form
    138,622/208,919 = 208,919/x
  3. Step 3: Cross multiply
    138,622x = 208,919 × 208,919
  4. Step 4: Simplify right side
    138,622x = 43,647,148,561
  5. Step 5: Solve for x
    x = 43,647,148,561/138,622
  6. Step 6: Final answer
    x = 314,864.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.