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Finding the Third Proportional to 205,843 and 321,213

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Solution

The third proportional to 205,843 and 321,213 is: 501,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843 : 321,213 = 321,213 : x
  2. Step 2: Convert to fraction form
    205,843/321,213 = 321,213/x
  3. Step 3: Cross multiply
    205,843x = 321,213 × 321,213
  4. Step 4: Simplify right side
    205,843x = 103,177,791,369
  5. Step 5: Solve for x
    x = 103,177,791,369/205,843
  6. Step 6: Final answer
    x = 501,245.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.