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Finding the Third Proportional to 25,450 and 55,978

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Solution

The third proportional to 25,450 and 55,978 is: 123,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450 : 55,978 = 55,978 : x
  2. Step 2: Convert to fraction form
    25,450/55,978 = 55,978/x
  3. Step 3: Cross multiply
    25,450x = 55,978 × 55,978
  4. Step 4: Simplify right side
    25,450x = 3,133,536,484
  5. Step 5: Solve for x
    x = 3,133,536,484/25,450
  6. Step 6: Final answer
    x = 123,125.21

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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.