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Finding the Third Proportional to 192,108 and 413,808

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Solution

The third proportional to 192,108 and 413,808 is: 891,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,108 : 413,808 = 413,808 : x
  2. Step 2: Convert to fraction form
    192,108/413,808 = 413,808/x
  3. Step 3: Cross multiply
    192,108x = 413,808 × 413,808
  4. Step 4: Simplify right side
    192,108x = 171,237,060,864
  5. Step 5: Solve for x
    x = 171,237,060,864/192,108
  6. Step 6: Final answer
    x = 891,358.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.