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Finding the Third Proportional to 39,175 and 86,126

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Solution

The third proportional to 39,175 and 86,126 is: 189,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,175 : 86,126 = 86,126 : x
  2. Step 2: Convert to fraction form
    39,175/86,126 = 86,126/x
  3. Step 3: Cross multiply
    39,175x = 86,126 × 86,126
  4. Step 4: Simplify right side
    39,175x = 7,417,687,876
  5. Step 5: Solve for x
    x = 7,417,687,876/39,175
  6. Step 6: Final answer
    x = 189,347.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.