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Finding the Third Proportional to 131,309 and 191,223

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Solution

The third proportional to 131,309 and 191,223 is: 278,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,309 : 191,223 = 191,223 : x
  2. Step 2: Convert to fraction form
    131,309/191,223 = 191,223/x
  3. Step 3: Cross multiply
    131,309x = 191,223 × 191,223
  4. Step 4: Simplify right side
    131,309x = 36,566,235,729
  5. Step 5: Solve for x
    x = 36,566,235,729/131,309
  6. Step 6: Final answer
    x = 278,474.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.