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Finding the Third Proportional to 192,790 and 288,049

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Solution

The third proportional to 192,790 and 288,049 is: 430,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,790 : 288,049 = 288,049 : x
  2. Step 2: Convert to fraction form
    192,790/288,049 = 288,049/x
  3. Step 3: Cross multiply
    192,790x = 288,049 × 288,049
  4. Step 4: Simplify right side
    192,790x = 82,972,226,401
  5. Step 5: Solve for x
    x = 82,972,226,401/192,790
  6. Step 6: Final answer
    x = 430,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.