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Finding the Third Proportional to 79,945 and 117,325

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Solution

The third proportional to 79,945 and 117,325 is: 172,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,945 : 117,325 = 117,325 : x
  2. Step 2: Convert to fraction form
    79,945/117,325 = 117,325/x
  3. Step 3: Cross multiply
    79,945x = 117,325 × 117,325
  4. Step 4: Simplify right side
    79,945x = 13,765,155,625
  5. Step 5: Solve for x
    x = 13,765,155,625/79,945
  6. Step 6: Final answer
    x = 172,182.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.