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Finding the Third Proportional to 193,286 and 272,190

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Solution

The third proportional to 193,286 and 272,190 is: 383,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,286 : 272,190 = 272,190 : x
  2. Step 2: Convert to fraction form
    193,286/272,190 = 272,190/x
  3. Step 3: Cross multiply
    193,286x = 272,190 × 272,190
  4. Step 4: Simplify right side
    193,286x = 74,087,396,100
  5. Step 5: Solve for x
    x = 74,087,396,100/193,286
  6. Step 6: Final answer
    x = 383,304.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.