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Finding the Third Proportional to 308,884 and 676,816

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Solution

The third proportional to 308,884 and 676,816 is: 1,483,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,884 : 676,816 = 676,816 : x
  2. Step 2: Convert to fraction form
    308,884/676,816 = 676,816/x
  3. Step 3: Cross multiply
    308,884x = 676,816 × 676,816
  4. Step 4: Simplify right side
    308,884x = 458,079,897,856
  5. Step 5: Solve for x
    x = 458,079,897,856/308,884
  6. Step 6: Final answer
    x = 1,483,015.95

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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.