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Finding the Third Proportional to 84,219 and 181,182

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Solution

The third proportional to 84,219 and 181,182 is: 389,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219 : 181,182 = 181,182 : x
  2. Step 2: Convert to fraction form
    84,219/181,182 = 181,182/x
  3. Step 3: Cross multiply
    84,219x = 181,182 × 181,182
  4. Step 4: Simplify right side
    84,219x = 32,826,917,124
  5. Step 5: Solve for x
    x = 32,826,917,124/84,219
  6. Step 6: Final answer
    x = 389,780.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.