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Finding the Third Proportional to 72,945 and 161,199

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Solution

The third proportional to 72,945 and 161,199 is: 356,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,945 : 161,199 = 161,199 : x
  2. Step 2: Convert to fraction form
    72,945/161,199 = 161,199/x
  3. Step 3: Cross multiply
    72,945x = 161,199 × 161,199
  4. Step 4: Simplify right side
    72,945x = 25,985,117,601
  5. Step 5: Solve for x
    x = 25,985,117,601/72,945
  6. Step 6: Final answer
    x = 356,228.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.