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Finding the Third Proportional to 90,435 and 192,859

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Solution

The third proportional to 90,435 and 192,859 is: 411,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,435 : 192,859 = 192,859 : x
  2. Step 2: Convert to fraction form
    90,435/192,859 = 192,859/x
  3. Step 3: Cross multiply
    90,435x = 192,859 × 192,859
  4. Step 4: Simplify right side
    90,435x = 37,194,593,881
  5. Step 5: Solve for x
    x = 37,194,593,881/90,435
  6. Step 6: Final answer
    x = 411,285.39

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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.