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Finding the Third Proportional to 308,910 and 676,866

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Solution

The third proportional to 308,910 and 676,866 is: 1,483,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,910 : 676,866 = 676,866 : x
  2. Step 2: Convert to fraction form
    308,910/676,866 = 676,866/x
  3. Step 3: Cross multiply
    308,910x = 676,866 × 676,866
  4. Step 4: Simplify right side
    308,910x = 458,147,581,956
  5. Step 5: Solve for x
    x = 458,147,581,956/308,910
  6. Step 6: Final answer
    x = 1,483,110.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.