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Finding the Third Proportional to 188,862 and 405,790

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Solution

The third proportional to 188,862 and 405,790 is: 871,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,862 : 405,790 = 405,790 : x
  2. Step 2: Convert to fraction form
    188,862/405,790 = 405,790/x
  3. Step 3: Cross multiply
    188,862x = 405,790 × 405,790
  4. Step 4: Simplify right side
    188,862x = 164,665,524,100
  5. Step 5: Solve for x
    x = 164,665,524,100/188,862
  6. Step 6: Final answer
    x = 871,882.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.