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Finding the Third Proportional to 84,357 and 181,218

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Solution

The third proportional to 84,357 and 181,218 is: 389,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357 : 181,218 = 181,218 : x
  2. Step 2: Convert to fraction form
    84,357/181,218 = 181,218/x
  3. Step 3: Cross multiply
    84,357x = 181,218 × 181,218
  4. Step 4: Simplify right side
    84,357x = 32,839,963,524
  5. Step 5: Solve for x
    x = 32,839,963,524/84,357
  6. Step 6: Final answer
    x = 389,297.43

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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.