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Finding the Third Proportional to 320,493.38 and 683,891.44

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Solution

The third proportional to 320,493.38 and 683,891.44 is: 1,459,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.38 : 683,891.44 = 683,891.44 : x
  2. Step 2: Convert to fraction form
    320,493.38/683,891.44 = 683,891.44/x
  3. Step 3: Cross multiply
    320,493.38x = 683,891.44 × 683,891.44
  4. Step 4: Simplify right side
    320,493.38x = 467,707,498,285.82
  5. Step 5: Solve for x
    x = 467,707,498,285.82/320,493.38
  6. Step 6: Final answer
    x = 1,459,335.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.