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Finding the Third Proportional to 405,933 and 576,976

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Solution

The third proportional to 405,933 and 576,976 is: 820,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,933 : 576,976 = 576,976 : x
  2. Step 2: Convert to fraction form
    405,933/576,976 = 576,976/x
  3. Step 3: Cross multiply
    405,933x = 576,976 × 576,976
  4. Step 4: Simplify right side
    405,933x = 332,901,304,576
  5. Step 5: Solve for x
    x = 332,901,304,576/405,933
  6. Step 6: Final answer
    x = 820,089.29

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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.