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Finding the Third Proportional to 320,930 and 496,684

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Solution

The third proportional to 320,930 and 496,684 is: 768,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,930 : 496,684 = 496,684 : x
  2. Step 2: Convert to fraction form
    320,930/496,684 = 496,684/x
  3. Step 3: Cross multiply
    320,930x = 496,684 × 496,684
  4. Step 4: Simplify right side
    320,930x = 246,694,995,856
  5. Step 5: Solve for x
    x = 246,694,995,856/320,930
  6. Step 6: Final answer
    x = 768,687.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.