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Finding the Third Proportional to 320,508 and 691,790

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Solution

The third proportional to 320,508 and 691,790 is: 1,493,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,508 : 691,790 = 691,790 : x
  2. Step 2: Convert to fraction form
    320,508/691,790 = 691,790/x
  3. Step 3: Cross multiply
    320,508x = 691,790 × 691,790
  4. Step 4: Simplify right side
    320,508x = 478,573,404,100
  5. Step 5: Solve for x
    x = 478,573,404,100/320,508
  6. Step 6: Final answer
    x = 1,493,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.