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Finding the Third Proportional to 39,901 and 85,135

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Solution

The third proportional to 39,901 and 85,135 is: 181,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,901 : 85,135 = 85,135 : x
  2. Step 2: Convert to fraction form
    39,901/85,135 = 85,135/x
  3. Step 3: Cross multiply
    39,901x = 85,135 × 85,135
  4. Step 4: Simplify right side
    39,901x = 7,247,968,225
  5. Step 5: Solve for x
    x = 7,247,968,225/39,901
  6. Step 6: Final answer
    x = 181,648.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.