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Finding the Third Proportional to 210,876 and 454,966

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Solution

The third proportional to 210,876 and 454,966 is: 981,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,876 : 454,966 = 454,966 : x
  2. Step 2: Convert to fraction form
    210,876/454,966 = 454,966/x
  3. Step 3: Cross multiply
    210,876x = 454,966 × 454,966
  4. Step 4: Simplify right side
    210,876x = 206,994,061,156
  5. Step 5: Solve for x
    x = 206,994,061,156/210,876
  6. Step 6: Final answer
    x = 981,591.37

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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.