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Finding the Third Proportional to 308,863 and 676,775

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Solution

The third proportional to 308,863 and 676,775 is: 1,482,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,863 : 676,775 = 676,775 : x
  2. Step 2: Convert to fraction form
    308,863/676,775 = 676,775/x
  3. Step 3: Cross multiply
    308,863x = 676,775 × 676,775
  4. Step 4: Simplify right side
    308,863x = 458,024,400,625
  5. Step 5: Solve for x
    x = 458,024,400,625/308,863
  6. Step 6: Final answer
    x = 1,482,937.10

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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.