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Finding the Third Proportional to 40,686 and 84,489

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Solution

The third proportional to 40,686 and 84,489 is: 175,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686 : 84,489 = 84,489 : x
  2. Step 2: Convert to fraction form
    40,686/84,489 = 84,489/x
  3. Step 3: Cross multiply
    40,686x = 84,489 × 84,489
  4. Step 4: Simplify right side
    40,686x = 7,138,391,121
  5. Step 5: Solve for x
    x = 7,138,391,121/40,686
  6. Step 6: Final answer
    x = 175,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.