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Finding the Third Proportional to 39,971 and 66,615

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Solution

The third proportional to 39,971 and 66,615 is: 111,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971 : 66,615 = 66,615 : x
  2. Step 2: Convert to fraction form
    39,971/66,615 = 66,615/x
  3. Step 3: Cross multiply
    39,971x = 66,615 × 66,615
  4. Step 4: Simplify right side
    39,971x = 4,437,558,225
  5. Step 5: Solve for x
    x = 4,437,558,225/39,971
  6. Step 6: Final answer
    x = 111,019.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.