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Finding the Third Proportional to 180,900 and 385,816

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Solution

The third proportional to 180,900 and 385,816 is: 822,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900 : 385,816 = 385,816 : x
  2. Step 2: Convert to fraction form
    180,900/385,816 = 385,816/x
  3. Step 3: Cross multiply
    180,900x = 385,816 × 385,816
  4. Step 4: Simplify right side
    180,900x = 148,853,985,856
  5. Step 5: Solve for x
    x = 148,853,985,856/180,900
  6. Step 6: Final answer
    x = 822,852.33

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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.