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Finding the Third Proportional to 66,771 and 103,986

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Solution

The third proportional to 66,771 and 103,986 is: 161,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,771 : 103,986 = 103,986 : x
  2. Step 2: Convert to fraction form
    66,771/103,986 = 103,986/x
  3. Step 3: Cross multiply
    66,771x = 103,986 × 103,986
  4. Step 4: Simplify right side
    66,771x = 10,813,088,196
  5. Step 5: Solve for x
    x = 10,813,088,196/66,771
  6. Step 6: Final answer
    x = 161,942.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.