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Finding the Third Proportional to 189,591 and 438,912

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Solution

The third proportional to 189,591 and 438,912 is: 1,016,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,591 : 438,912 = 438,912 : x
  2. Step 2: Convert to fraction form
    189,591/438,912 = 438,912/x
  3. Step 3: Cross multiply
    189,591x = 438,912 × 438,912
  4. Step 4: Simplify right side
    189,591x = 192,643,743,744
  5. Step 5: Solve for x
    x = 192,643,743,744/189,591
  6. Step 6: Final answer
    x = 1,016,101.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.