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Finding the Third Proportional to 308,861 and 676,771

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Solution

The third proportional to 308,861 and 676,771 is: 1,482,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,861 : 676,771 = 676,771 : x
  2. Step 2: Convert to fraction form
    308,861/676,771 = 676,771/x
  3. Step 3: Cross multiply
    308,861x = 676,771 × 676,771
  4. Step 4: Simplify right side
    308,861x = 458,018,986,441
  5. Step 5: Solve for x
    x = 458,018,986,441/308,861
  6. Step 6: Final answer
    x = 1,482,929.17

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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.