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Finding the Third Proportional to 329,652 and 676,779

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Solution

The third proportional to 329,652 and 676,779 is: 1,389,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,652 : 676,779 = 676,779 : x
  2. Step 2: Convert to fraction form
    329,652/676,779 = 676,779/x
  3. Step 3: Cross multiply
    329,652x = 676,779 × 676,779
  4. Step 4: Simplify right side
    329,652x = 458,029,814,841
  5. Step 5: Solve for x
    x = 458,029,814,841/329,652
  6. Step 6: Final answer
    x = 1,389,434.36

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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.