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Finding the Third Proportional to 189,100 and 279,916

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Solution

The third proportional to 189,100 and 279,916 is: 414,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100 : 279,916 = 279,916 : x
  2. Step 2: Convert to fraction form
    189,100/279,916 = 279,916/x
  3. Step 3: Cross multiply
    189,100x = 279,916 × 279,916
  4. Step 4: Simplify right side
    189,100x = 78,352,967,056
  5. Step 5: Solve for x
    x = 78,352,967,056/189,100
  6. Step 6: Final answer
    x = 414,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.