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Finding the Third Proportional to 79,443 and 165,420

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Solution

The third proportional to 79,443 and 165,420 is: 344,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,443 : 165,420 = 165,420 : x
  2. Step 2: Convert to fraction form
    79,443/165,420 = 165,420/x
  3. Step 3: Cross multiply
    79,443x = 165,420 × 165,420
  4. Step 4: Simplify right side
    79,443x = 27,363,776,400
  5. Step 5: Solve for x
    x = 27,363,776,400/79,443
  6. Step 6: Final answer
    x = 344,445.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.