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Finding the Third Proportional to 130,812 and 196,218

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Solution

The third proportional to 130,812 and 196,218 is: 294,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,812 : 196,218 = 196,218 : x
  2. Step 2: Convert to fraction form
    130,812/196,218 = 196,218/x
  3. Step 3: Cross multiply
    130,812x = 196,218 × 196,218
  4. Step 4: Simplify right side
    130,812x = 38,501,503,524
  5. Step 5: Solve for x
    x = 38,501,503,524/130,812
  6. Step 6: Final answer
    x = 294,327

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.