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Finding the Third Proportional to 384,333 and 561,686

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Solution

The third proportional to 384,333 and 561,686 is: 820,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,333 : 561,686 = 561,686 : x
  2. Step 2: Convert to fraction form
    384,333/561,686 = 561,686/x
  3. Step 3: Cross multiply
    384,333x = 561,686 × 561,686
  4. Step 4: Simplify right side
    384,333x = 315,491,162,596
  5. Step 5: Solve for x
    x = 315,491,162,596/384,333
  6. Step 6: Final answer
    x = 820,879.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.