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Finding the Third Proportional to 190,286 and 418,238

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Solution

The third proportional to 190,286 and 418,238 is: 919,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,286 : 418,238 = 418,238 : x
  2. Step 2: Convert to fraction form
    190,286/418,238 = 418,238/x
  3. Step 3: Cross multiply
    190,286x = 418,238 × 418,238
  4. Step 4: Simplify right side
    190,286x = 174,923,024,644
  5. Step 5: Solve for x
    x = 174,923,024,644/190,286
  6. Step 6: Final answer
    x = 919,263.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.