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Finding the Third Proportional to 85,215.38 and 179,418.38

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Solution

The third proportional to 85,215.38 and 179,418.38 is: 377,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,215.38 : 179,418.38 = 179,418.38 : x
  2. Step 2: Convert to fraction form
    85,215.38/179,418.38 = 179,418.38/x
  3. Step 3: Cross multiply
    85,215.38x = 179,418.38 × 179,418.38
  4. Step 4: Simplify right side
    85,215.38x = 32,190,953,287.64
  5. Step 5: Solve for x
    x = 32,190,953,287.64/85,215.38
  6. Step 6: Final answer
    x = 377,759.92

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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.