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Finding the Third Proportional to 329,709 and 676,884

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Solution

The third proportional to 329,709 and 676,884 is: 1,389,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709 : 676,884 = 676,884 : x
  2. Step 2: Convert to fraction form
    329,709/676,884 = 676,884/x
  3. Step 3: Cross multiply
    329,709x = 676,884 × 676,884
  4. Step 4: Simplify right side
    329,709x = 458,171,949,456
  5. Step 5: Solve for x
    x = 458,171,949,456/329,709
  6. Step 6: Final answer
    x = 1,389,625.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.