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Finding the Third Proportional to 210,872 and 454,959

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Solution

The third proportional to 210,872 and 454,959 is: 981,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872 : 454,959 = 454,959 : x
  2. Step 2: Convert to fraction form
    210,872/454,959 = 454,959/x
  3. Step 3: Cross multiply
    210,872x = 454,959 × 454,959
  4. Step 4: Simplify right side
    210,872x = 206,987,691,681
  5. Step 5: Solve for x
    x = 206,987,691,681/210,872
  6. Step 6: Final answer
    x = 981,579.78

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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.