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Finding the Third Proportional to 136,190 and 298,218

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Solution

The third proportional to 136,190 and 298,218 is: 653,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,190 : 298,218 = 298,218 : x
  2. Step 2: Convert to fraction form
    136,190/298,218 = 298,218/x
  3. Step 3: Cross multiply
    136,190x = 298,218 × 298,218
  4. Step 4: Simplify right side
    136,190x = 88,933,975,524
  5. Step 5: Solve for x
    x = 88,933,975,524/136,190
  6. Step 6: Final answer
    x = 653,013.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.