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Finding the Third Proportional to 119,879 and 178,998

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Solution

The third proportional to 119,879 and 178,998 is: 267,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,879 : 178,998 = 178,998 : x
  2. Step 2: Convert to fraction form
    119,879/178,998 = 178,998/x
  3. Step 3: Cross multiply
    119,879x = 178,998 × 178,998
  4. Step 4: Simplify right side
    119,879x = 32,040,284,004
  5. Step 5: Solve for x
    x = 32,040,284,004/119,879
  6. Step 6: Final answer
    x = 267,271.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.