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Finding the Third Proportional to 39,415 and 84,662

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Solution

The third proportional to 39,415 and 84,662 is: 181,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,415 : 84,662 = 84,662 : x
  2. Step 2: Convert to fraction form
    39,415/84,662 = 84,662/x
  3. Step 3: Cross multiply
    39,415x = 84,662 × 84,662
  4. Step 4: Simplify right side
    39,415x = 7,167,654,244
  5. Step 5: Solve for x
    x = 7,167,654,244/39,415
  6. Step 6: Final answer
    x = 181,850.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.