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Finding the Third Proportional to 131,050 and 196,367

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Solution

The third proportional to 131,050 and 196,367 is: 294,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,050 : 196,367 = 196,367 : x
  2. Step 2: Convert to fraction form
    131,050/196,367 = 196,367/x
  3. Step 3: Cross multiply
    131,050x = 196,367 × 196,367
  4. Step 4: Simplify right side
    131,050x = 38,559,998,689
  5. Step 5: Solve for x
    x = 38,559,998,689/131,050
  6. Step 6: Final answer
    x = 294,238.83

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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.