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Finding the Third Proportional to 120,169 and 181,175

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Solution

The third proportional to 120,169 and 181,175 is: 273,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169 : 181,175 = 181,175 : x
  2. Step 2: Convert to fraction form
    120,169/181,175 = 181,175/x
  3. Step 3: Cross multiply
    120,169x = 181,175 × 181,175
  4. Step 4: Simplify right side
    120,169x = 32,824,380,625
  5. Step 5: Solve for x
    x = 32,824,380,625/120,169
  6. Step 6: Final answer
    x = 273,151.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.