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Finding the Third Proportional to 84,555 and 182,191

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Solution

The third proportional to 84,555 and 182,191 is: 392,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,555 : 182,191 = 182,191 : x
  2. Step 2: Convert to fraction form
    84,555/182,191 = 182,191/x
  3. Step 3: Cross multiply
    84,555x = 182,191 × 182,191
  4. Step 4: Simplify right side
    84,555x = 33,193,560,481
  5. Step 5: Solve for x
    x = 33,193,560,481/84,555
  6. Step 6: Final answer
    x = 392,567.68

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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.