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Finding the Third Proportional to 214,616 and 320,790

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Solution

The third proportional to 214,616 and 320,790 is: 479,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616 : 320,790 = 320,790 : x
  2. Step 2: Convert to fraction form
    214,616/320,790 = 320,790/x
  3. Step 3: Cross multiply
    214,616x = 320,790 × 320,790
  4. Step 4: Simplify right side
    214,616x = 102,906,224,100
  5. Step 5: Solve for x
    x = 102,906,224,100/214,616
  6. Step 6: Final answer
    x = 479,489.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.