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Finding the Third Proportional to 192,102 and 413,796

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Solution

The third proportional to 192,102 and 413,796 is: 891,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102 : 413,796 = 413,796 : x
  2. Step 2: Convert to fraction form
    192,102/413,796 = 413,796/x
  3. Step 3: Cross multiply
    192,102x = 413,796 × 413,796
  4. Step 4: Simplify right side
    192,102x = 171,227,129,616
  5. Step 5: Solve for x
    x = 171,227,129,616/192,102
  6. Step 6: Final answer
    x = 891,334.45

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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.