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Finding the Third Proportional to 83,412 and 182,052

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Solution

The third proportional to 83,412 and 182,052 is: 397,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412 : 182,052 = 182,052 : x
  2. Step 2: Convert to fraction form
    83,412/182,052 = 182,052/x
  3. Step 3: Cross multiply
    83,412x = 182,052 × 182,052
  4. Step 4: Simplify right side
    83,412x = 33,142,930,704
  5. Step 5: Solve for x
    x = 33,142,930,704/83,412
  6. Step 6: Final answer
    x = 397,340.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.