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Finding the Third Proportional to 90,638 and 192,280

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Solution

The third proportional to 90,638 and 192,280 is: 407,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,638 : 192,280 = 192,280 : x
  2. Step 2: Convert to fraction form
    90,638/192,280 = 192,280/x
  3. Step 3: Cross multiply
    90,638x = 192,280 × 192,280
  4. Step 4: Simplify right side
    90,638x = 36,971,598,400
  5. Step 5: Solve for x
    x = 36,971,598,400/90,638
  6. Step 6: Final answer
    x = 407,903.95

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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.