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Finding the Third Proportional to 189,480 and 273,744

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Solution

The third proportional to 189,480 and 273,744 is: 395,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,480 : 273,744 = 273,744 : x
  2. Step 2: Convert to fraction form
    189,480/273,744 = 273,744/x
  3. Step 3: Cross multiply
    189,480x = 273,744 × 273,744
  4. Step 4: Simplify right side
    189,480x = 74,935,777,536
  5. Step 5: Solve for x
    x = 74,935,777,536/189,480
  6. Step 6: Final answer
    x = 395,481.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.