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Finding the Third Proportional to 181,795 and 386,918

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Solution

The third proportional to 181,795 and 386,918 is: 823,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,795 : 386,918 = 386,918 : x
  2. Step 2: Convert to fraction form
    181,795/386,918 = 386,918/x
  3. Step 3: Cross multiply
    181,795x = 386,918 × 386,918
  4. Step 4: Simplify right side
    181,795x = 149,705,538,724
  5. Step 5: Solve for x
    x = 149,705,538,724/181,795
  6. Step 6: Final answer
    x = 823,485.46

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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.