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Finding the Third Proportional to 134,876 and 208,398

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Solution

The third proportional to 134,876 and 208,398 is: 321,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,876 : 208,398 = 208,398 : x
  2. Step 2: Convert to fraction form
    134,876/208,398 = 208,398/x
  3. Step 3: Cross multiply
    134,876x = 208,398 × 208,398
  4. Step 4: Simplify right side
    134,876x = 43,429,726,404
  5. Step 5: Solve for x
    x = 43,429,726,404/134,876
  6. Step 6: Final answer
    x = 321,997.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.