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Finding the Third Proportional to 180,898 and 385,812

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Solution

The third proportional to 180,898 and 385,812 is: 822,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898 : 385,812 = 385,812 : x
  2. Step 2: Convert to fraction form
    180,898/385,812 = 385,812/x
  3. Step 3: Cross multiply
    180,898x = 385,812 × 385,812
  4. Step 4: Simplify right side
    180,898x = 148,850,899,344
  5. Step 5: Solve for x
    x = 148,850,899,344/180,898
  6. Step 6: Final answer
    x = 822,844.36

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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.