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Finding the Third Proportional to 57,715 and 86,954

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Solution

The third proportional to 57,715 and 86,954 is: 131,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715 : 86,954 = 86,954 : x
  2. Step 2: Convert to fraction form
    57,715/86,954 = 86,954/x
  3. Step 3: Cross multiply
    57,715x = 86,954 × 86,954
  4. Step 4: Simplify right side
    57,715x = 7,560,998,116
  5. Step 5: Solve for x
    x = 7,560,998,116/57,715
  6. Step 6: Final answer
    x = 131,005.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.