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Finding the Third Proportional to 84,353 and 178,189

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Solution

The third proportional to 84,353 and 178,189 is: 376,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,353 : 178,189 = 178,189 : x
  2. Step 2: Convert to fraction form
    84,353/178,189 = 178,189/x
  3. Step 3: Cross multiply
    84,353x = 178,189 × 178,189
  4. Step 4: Simplify right side
    84,353x = 31,751,319,721
  5. Step 5: Solve for x
    x = 31,751,319,721/84,353
  6. Step 6: Final answer
    x = 376,410.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.