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Finding the Third Proportional to 192,107 and 283,192

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Solution

The third proportional to 192,107 and 283,192 is: 417,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,107 : 283,192 = 283,192 : x
  2. Step 2: Convert to fraction form
    192,107/283,192 = 283,192/x
  3. Step 3: Cross multiply
    192,107x = 283,192 × 283,192
  4. Step 4: Simplify right side
    192,107x = 80,197,708,864
  5. Step 5: Solve for x
    x = 80,197,708,864/192,107
  6. Step 6: Final answer
    x = 417,463.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.