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Finding the Third Proportional to 90,885 and 192,858

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Solution

The third proportional to 90,885 and 192,858 is: 409,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,885 : 192,858 = 192,858 : x
  2. Step 2: Convert to fraction form
    90,885/192,858 = 192,858/x
  3. Step 3: Cross multiply
    90,885x = 192,858 × 192,858
  4. Step 4: Simplify right side
    90,885x = 37,194,208,164
  5. Step 5: Solve for x
    x = 37,194,208,164/90,885
  6. Step 6: Final answer
    x = 409,244.74

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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.