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Finding the Third Proportional to 90,736 and 192,272

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Solution

The third proportional to 90,736 and 192,272 is: 407,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,736 : 192,272 = 192,272 : x
  2. Step 2: Convert to fraction form
    90,736/192,272 = 192,272/x
  3. Step 3: Cross multiply
    90,736x = 192,272 × 192,272
  4. Step 4: Simplify right side
    90,736x = 36,968,521,984
  5. Step 5: Solve for x
    x = 36,968,521,984/90,736
  6. Step 6: Final answer
    x = 407,429.49

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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.