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Finding the Third Proportional to 189,482 and 273,747

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Solution

The third proportional to 189,482 and 273,747 is: 395,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,482 : 273,747 = 273,747 : x
  2. Step 2: Convert to fraction form
    189,482/273,747 = 273,747/x
  3. Step 3: Cross multiply
    189,482x = 273,747 × 273,747
  4. Step 4: Simplify right side
    189,482x = 74,937,420,009
  5. Step 5: Solve for x
    x = 74,937,420,009/189,482
  6. Step 6: Final answer
    x = 395,485.69

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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.