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Finding the Third Proportional to 39,099 and 85,257

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Solution

The third proportional to 39,099 and 85,257 is: 185,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,099 : 85,257 = 85,257 : x
  2. Step 2: Convert to fraction form
    39,099/85,257 = 85,257/x
  3. Step 3: Cross multiply
    39,099x = 85,257 × 85,257
  4. Step 4: Simplify right side
    39,099x = 7,268,756,049
  5. Step 5: Solve for x
    x = 7,268,756,049/39,099
  6. Step 6: Final answer
    x = 185,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.