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Finding the Third Proportional to 308,921 and 676,883

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Solution

The third proportional to 308,921 and 676,883 is: 1,483,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,921 : 676,883 = 676,883 : x
  2. Step 2: Convert to fraction form
    308,921/676,883 = 676,883/x
  3. Step 3: Cross multiply
    308,921x = 676,883 × 676,883
  4. Step 4: Simplify right side
    308,921x = 458,170,595,689
  5. Step 5: Solve for x
    x = 458,170,595,689/308,921
  6. Step 6: Final answer
    x = 1,483,131.92

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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.