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Finding the Third Proportional to 222,374 and 490,108

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Solution

The third proportional to 222,374 and 490,108 is: 1,080,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,374 : 490,108 = 490,108 : x
  2. Step 2: Convert to fraction form
    222,374/490,108 = 490,108/x
  3. Step 3: Cross multiply
    222,374x = 490,108 × 490,108
  4. Step 4: Simplify right side
    222,374x = 240,205,851,664
  5. Step 5: Solve for x
    x = 240,205,851,664/222,374
  6. Step 6: Final answer
    x = 1,080,188.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.