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Finding the Third Proportional to 205,864 and 449,600

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Solution

The third proportional to 205,864 and 449,600 is: 981,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,864 : 449,600 = 449,600 : x
  2. Step 2: Convert to fraction form
    205,864/449,600 = 449,600/x
  3. Step 3: Cross multiply
    205,864x = 449,600 × 449,600
  4. Step 4: Simplify right side
    205,864x = 202,140,160,000
  5. Step 5: Solve for x
    x = 202,140,160,000/205,864
  6. Step 6: Final answer
    x = 981,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.