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Finding the Third Proportional to 85,682 and 133,990

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Solution

The third proportional to 85,682 and 133,990 is: 209,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,682 : 133,990 = 133,990 : x
  2. Step 2: Convert to fraction form
    85,682/133,990 = 133,990/x
  3. Step 3: Cross multiply
    85,682x = 133,990 × 133,990
  4. Step 4: Simplify right side
    85,682x = 17,953,320,100
  5. Step 5: Solve for x
    x = 17,953,320,100/85,682
  6. Step 6: Final answer
    x = 209,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.