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Finding the Third Proportional to 603,678 and 816,942

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Solution

The third proportional to 603,678 and 816,942 is: 1,105,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,678 : 816,942 = 816,942 : x
  2. Step 2: Convert to fraction form
    603,678/816,942 = 816,942/x
  3. Step 3: Cross multiply
    603,678x = 816,942 × 816,942
  4. Step 4: Simplify right side
    603,678x = 667,394,231,364
  5. Step 5: Solve for x
    x = 667,394,231,364/603,678
  6. Step 6: Final answer
    x = 1,105,546.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.