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Finding the Third Proportional to 85,814 and 179,836

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Solution

The third proportional to 85,814 and 179,836 is: 376,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814 : 179,836 = 179,836 : x
  2. Step 2: Convert to fraction form
    85,814/179,836 = 179,836/x
  3. Step 3: Cross multiply
    85,814x = 179,836 × 179,836
  4. Step 4: Simplify right side
    85,814x = 32,340,986,896
  5. Step 5: Solve for x
    x = 32,340,986,896/85,814
  6. Step 6: Final answer
    x = 376,873.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.