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Finding the Third Proportional to 90,609 and 192,180

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Solution

The third proportional to 90,609 and 192,180 is: 407,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,609 : 192,180 = 192,180 : x
  2. Step 2: Convert to fraction form
    90,609/192,180 = 192,180/x
  3. Step 3: Cross multiply
    90,609x = 192,180 × 192,180
  4. Step 4: Simplify right side
    90,609x = 36,933,152,400
  5. Step 5: Solve for x
    x = 36,933,152,400/90,609
  6. Step 6: Final answer
    x = 407,610.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.