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Finding the Third Proportional to 267,842 and 405,219

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Solution

The third proportional to 267,842 and 405,219 is: 613,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,842 : 405,219 = 405,219 : x
  2. Step 2: Convert to fraction form
    267,842/405,219 = 405,219/x
  3. Step 3: Cross multiply
    267,842x = 405,219 × 405,219
  4. Step 4: Simplify right side
    267,842x = 164,202,437,961
  5. Step 5: Solve for x
    x = 164,202,437,961/267,842
  6. Step 6: Final answer
    x = 613,057.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.