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Finding the Third Proportional to 40,682 and 53,997

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Solution

The third proportional to 40,682 and 53,997 is: 71,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682 : 53,997 = 53,997 : x
  2. Step 2: Convert to fraction form
    40,682/53,997 = 53,997/x
  3. Step 3: Cross multiply
    40,682x = 53,997 × 53,997
  4. Step 4: Simplify right side
    40,682x = 2,915,676,009
  5. Step 5: Solve for x
    x = 2,915,676,009/40,682
  6. Step 6: Final answer
    x = 71,669.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.