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Finding the Third Proportional to 131,750 and 197,266

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Solution

The third proportional to 131,750 and 197,266 is: 295,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,750 : 197,266 = 197,266 : x
  2. Step 2: Convert to fraction form
    131,750/197,266 = 197,266/x
  3. Step 3: Cross multiply
    131,750x = 197,266 × 197,266
  4. Step 4: Simplify right side
    131,750x = 38,913,874,756
  5. Step 5: Solve for x
    x = 38,913,874,756/131,750
  6. Step 6: Final answer
    x = 295,361.48

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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.