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Finding the Third Proportional to 210,873 and 454,963

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Solution

The third proportional to 210,873 and 454,963 is: 981,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,873 : 454,963 = 454,963 : x
  2. Step 2: Convert to fraction form
    210,873/454,963 = 454,963/x
  3. Step 3: Cross multiply
    210,873x = 454,963 × 454,963
  4. Step 4: Simplify right side
    210,873x = 206,991,331,369
  5. Step 5: Solve for x
    x = 206,991,331,369/210,873
  6. Step 6: Final answer
    x = 981,592.39

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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.