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Finding the Third Proportional to 405,928 and 576,969

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Solution

The third proportional to 405,928 and 576,969 is: 820,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,928 : 576,969 = 576,969 : x
  2. Step 2: Convert to fraction form
    405,928/576,969 = 576,969/x
  3. Step 3: Cross multiply
    405,928x = 576,969 × 576,969
  4. Step 4: Simplify right side
    405,928x = 332,893,226,961
  5. Step 5: Solve for x
    x = 332,893,226,961/405,928
  6. Step 6: Final answer
    x = 820,079.49

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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.