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Finding the Third Proportional to 221,691 and 459,147

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Solution

The third proportional to 221,691 and 459,147 is: 950,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,691 : 459,147 = 459,147 : x
  2. Step 2: Convert to fraction form
    221,691/459,147 = 459,147/x
  3. Step 3: Cross multiply
    221,691x = 459,147 × 459,147
  4. Step 4: Simplify right side
    221,691x = 210,815,967,609
  5. Step 5: Solve for x
    x = 210,815,967,609/221,691
  6. Step 6: Final answer
    x = 950,945.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.