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Finding the Third Proportional to 39,708 and 85,171

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Solution

The third proportional to 39,708 and 85,171 is: 182,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708 : 85,171 = 85,171 : x
  2. Step 2: Convert to fraction form
    39,708/85,171 = 85,171/x
  3. Step 3: Cross multiply
    39,708x = 85,171 × 85,171
  4. Step 4: Simplify right side
    39,708x = 7,254,099,241
  5. Step 5: Solve for x
    x = 7,254,099,241/39,708
  6. Step 6: Final answer
    x = 182,686.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.