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Finding the Third Proportional to 159,677 and 222,015

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Solution

The third proportional to 159,677 and 222,015 is: 308,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,677 : 222,015 = 222,015 : x
  2. Step 2: Convert to fraction form
    159,677/222,015 = 222,015/x
  3. Step 3: Cross multiply
    159,677x = 222,015 × 222,015
  4. Step 4: Simplify right side
    159,677x = 49,290,660,225
  5. Step 5: Solve for x
    x = 49,290,660,225/159,677
  6. Step 6: Final answer
    x = 308,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.