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Finding the Third Proportional to 90,605 and 192,172

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Solution

The third proportional to 90,605 and 192,172 is: 407,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,605 : 192,172 = 192,172 : x
  2. Step 2: Convert to fraction form
    90,605/192,172 = 192,172/x
  3. Step 3: Cross multiply
    90,605x = 192,172 × 192,172
  4. Step 4: Simplify right side
    90,605x = 36,930,077,584
  5. Step 5: Solve for x
    x = 36,930,077,584/90,605
  6. Step 6: Final answer
    x = 407,594.26

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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.