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Finding the Third Proportional to 193,544 and 418,226

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Solution

The third proportional to 193,544 and 418,226 is: 903,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,544 : 418,226 = 418,226 : x
  2. Step 2: Convert to fraction form
    193,544/418,226 = 418,226/x
  3. Step 3: Cross multiply
    193,544x = 418,226 × 418,226
  4. Step 4: Simplify right side
    193,544x = 174,912,987,076
  5. Step 5: Solve for x
    x = 174,912,987,076/193,544
  6. Step 6: Final answer
    x = 903,737.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.