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Finding the Third Proportional to 119,978 and 258,388

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Solution

The third proportional to 119,978 and 258,388 is: 556,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 258,388 = 258,388 : x
  2. Step 2: Convert to fraction form
    119,978/258,388 = 258,388/x
  3. Step 3: Cross multiply
    119,978x = 258,388 × 258,388
  4. Step 4: Simplify right side
    119,978x = 66,764,358,544
  5. Step 5: Solve for x
    x = 66,764,358,544/119,978
  6. Step 6: Final answer
    x = 556,471.67

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