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Finding the Third Proportional to 189,252 and 284,668

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Solution

The third proportional to 189,252 and 284,668 is: 428,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,252 : 284,668 = 284,668 : x
  2. Step 2: Convert to fraction form
    189,252/284,668 = 284,668/x
  3. Step 3: Cross multiply
    189,252x = 284,668 × 284,668
  4. Step 4: Simplify right side
    189,252x = 81,035,870,224
  5. Step 5: Solve for x
    x = 81,035,870,224/189,252
  6. Step 6: Final answer
    x = 428,190.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.