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Finding the Third Proportional to 180,930 and 385,906

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Solution

The third proportional to 180,930 and 385,906 is: 823,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930 : 385,906 = 385,906 : x
  2. Step 2: Convert to fraction form
    180,930/385,906 = 385,906/x
  3. Step 3: Cross multiply
    180,930x = 385,906 × 385,906
  4. Step 4: Simplify right side
    180,930x = 148,923,440,836
  5. Step 5: Solve for x
    x = 148,923,440,836/180,930
  6. Step 6: Final answer
    x = 823,099.77

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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.