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Finding the Third Proportional to 210,979 and 454,939

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Solution

The third proportional to 210,979 and 454,939 is: 980,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,979 : 454,939 = 454,939 : x
  2. Step 2: Convert to fraction form
    210,979/454,939 = 454,939/x
  3. Step 3: Cross multiply
    210,979x = 454,939 × 454,939
  4. Step 4: Simplify right side
    210,979x = 206,969,493,721
  5. Step 5: Solve for x
    x = 206,969,493,721/210,979
  6. Step 6: Final answer
    x = 980,995.71

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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.