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Finding the Third Proportional to 308,934 and 676,917

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Solution

The third proportional to 308,934 and 676,917 is: 1,483,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,934 : 676,917 = 676,917 : x
  2. Step 2: Convert to fraction form
    308,934/676,917 = 676,917/x
  3. Step 3: Cross multiply
    308,934x = 676,917 × 676,917
  4. Step 4: Simplify right side
    308,934x = 458,216,624,889
  5. Step 5: Solve for x
    x = 458,216,624,889/308,934
  6. Step 6: Final answer
    x = 1,483,218.50

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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.