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Finding the Third Proportional to 79,971 and 120,159

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Solution

The third proportional to 79,971 and 120,159 is: 180,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,971 : 120,159 = 120,159 : x
  2. Step 2: Convert to fraction form
    79,971/120,159 = 120,159/x
  3. Step 3: Cross multiply
    79,971x = 120,159 × 120,159
  4. Step 4: Simplify right side
    79,971x = 14,438,185,281
  5. Step 5: Solve for x
    x = 14,438,185,281/79,971
  6. Step 6: Final answer
    x = 180,542.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.