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Finding the Third Proportional to 308,313 and 665,589

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Solution

The third proportional to 308,313 and 665,589 is: 1,436,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,313 : 665,589 = 665,589 : x
  2. Step 2: Convert to fraction form
    308,313/665,589 = 665,589/x
  3. Step 3: Cross multiply
    308,313x = 665,589 × 665,589
  4. Step 4: Simplify right side
    308,313x = 443,008,716,921
  5. Step 5: Solve for x
    x = 443,008,716,921/308,313
  6. Step 6: Final answer
    x = 1,436,879.78

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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.