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Finding the Third Proportional to 405,936 and 576,981

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Solution

The third proportional to 405,936 and 576,981 is: 820,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,936 : 576,981 = 576,981 : x
  2. Step 2: Convert to fraction form
    405,936/576,981 = 576,981/x
  3. Step 3: Cross multiply
    405,936x = 576,981 × 576,981
  4. Step 4: Simplify right side
    405,936x = 332,907,074,361
  5. Step 5: Solve for x
    x = 332,907,074,361/405,936
  6. Step 6: Final answer
    x = 820,097.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.