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Finding the Third Proportional to 131,326 and 191,247

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Solution

The third proportional to 131,326 and 191,247 is: 278,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,326 : 191,247 = 191,247 : x
  2. Step 2: Convert to fraction form
    131,326/191,247 = 191,247/x
  3. Step 3: Cross multiply
    131,326x = 191,247 × 191,247
  4. Step 4: Simplify right side
    131,326x = 36,575,415,009
  5. Step 5: Solve for x
    x = 36,575,415,009/131,326
  6. Step 6: Final answer
    x = 278,508.56

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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.