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Finding the Third Proportional to 66,166 and 135,841

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Solution

The third proportional to 66,166 and 135,841 is: 278,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,166 : 135,841 = 135,841 : x
  2. Step 2: Convert to fraction form
    66,166/135,841 = 135,841/x
  3. Step 3: Cross multiply
    66,166x = 135,841 × 135,841
  4. Step 4: Simplify right side
    66,166x = 18,452,777,281
  5. Step 5: Solve for x
    x = 18,452,777,281/66,166
  6. Step 6: Final answer
    x = 278,886.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.