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Finding the Third Proportional to 181,107 and 393,328

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Solution

The third proportional to 181,107 and 393,328 is: 854,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,107 : 393,328 = 393,328 : x
  2. Step 2: Convert to fraction form
    181,107/393,328 = 393,328/x
  3. Step 3: Cross multiply
    181,107x = 393,328 × 393,328
  4. Step 4: Simplify right side
    181,107x = 154,706,915,584
  5. Step 5: Solve for x
    x = 154,706,915,584/181,107
  6. Step 6: Final answer
    x = 854,229.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.