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Finding the Third Proportional to 38,181 and 57,690

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Solution

The third proportional to 38,181 and 57,690 is: 87,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,181 : 57,690 = 57,690 : x
  2. Step 2: Convert to fraction form
    38,181/57,690 = 57,690/x
  3. Step 3: Cross multiply
    38,181x = 57,690 × 57,690
  4. Step 4: Simplify right side
    38,181x = 3,328,136,100
  5. Step 5: Solve for x
    x = 3,328,136,100/38,181
  6. Step 6: Final answer
    x = 87,167.34

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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.