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Finding the Third Proportional to 192,100 and 290,802

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Solution

The third proportional to 192,100 and 290,802 is: 440,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,100 : 290,802 = 290,802 : x
  2. Step 2: Convert to fraction form
    192,100/290,802 = 290,802/x
  3. Step 3: Cross multiply
    192,100x = 290,802 × 290,802
  4. Step 4: Simplify right side
    192,100x = 84,565,803,204
  5. Step 5: Solve for x
    x = 84,565,803,204/192,100
  6. Step 6: Final answer
    x = 440,217.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.