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Finding the Third Proportional to 189,569 and 438,849

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Solution

The third proportional to 189,569 and 438,849 is: 1,015,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,569 : 438,849 = 438,849 : x
  2. Step 2: Convert to fraction form
    189,569/438,849 = 438,849/x
  3. Step 3: Cross multiply
    189,569x = 438,849 × 438,849
  4. Step 4: Simplify right side
    189,569x = 192,588,444,801
  5. Step 5: Solve for x
    x = 192,588,444,801/189,569
  6. Step 6: Final answer
    x = 1,015,927.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.