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Finding the Third Proportional to 90,158 and 192,378

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Solution

The third proportional to 90,158 and 192,378 is: 410,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,158 : 192,378 = 192,378 : x
  2. Step 2: Convert to fraction form
    90,158/192,378 = 192,378/x
  3. Step 3: Cross multiply
    90,158x = 192,378 × 192,378
  4. Step 4: Simplify right side
    90,158x = 37,009,294,884
  5. Step 5: Solve for x
    x = 37,009,294,884/90,158
  6. Step 6: Final answer
    x = 410,493.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.