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Finding the Third Proportional to 206,906 and 321,657

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Solution

The third proportional to 206,906 and 321,657 is: 500,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906 : 321,657 = 321,657 : x
  2. Step 2: Convert to fraction form
    206,906/321,657 = 321,657/x
  3. Step 3: Cross multiply
    206,906x = 321,657 × 321,657
  4. Step 4: Simplify right side
    206,906x = 103,463,225,649
  5. Step 5: Solve for x
    x = 103,463,225,649/206,906
  6. Step 6: Final answer
    x = 500,049.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.