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Finding the Third Proportional to 189,208 and 284,609

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Solution

The third proportional to 189,208 and 284,609 is: 428,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,208 : 284,609 = 284,609 : x
  2. Step 2: Convert to fraction form
    189,208/284,609 = 284,609/x
  3. Step 3: Cross multiply
    189,208x = 284,609 × 284,609
  4. Step 4: Simplify right side
    189,208x = 81,002,282,881
  5. Step 5: Solve for x
    x = 81,002,282,881/189,208
  6. Step 6: Final answer
    x = 428,112.36

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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.