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Finding the Third Proportional to 222,993 and 480,978

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Solution

The third proportional to 222,993 and 480,978 is: 1,037,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,993 : 480,978 = 480,978 : x
  2. Step 2: Convert to fraction form
    222,993/480,978 = 480,978/x
  3. Step 3: Cross multiply
    222,993x = 480,978 × 480,978
  4. Step 4: Simplify right side
    222,993x = 231,339,836,484
  5. Step 5: Solve for x
    x = 231,339,836,484/222,993
  6. Step 6: Final answer
    x = 1,037,430.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.