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Finding the Third Proportional to 39,100 and 85,367

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Solution

The third proportional to 39,100 and 85,367 is: 186,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 85,367 = 85,367 : x
  2. Step 2: Convert to fraction form
    39,100/85,367 = 85,367/x
  3. Step 3: Cross multiply
    39,100x = 85,367 × 85,367
  4. Step 4: Simplify right side
    39,100x = 7,287,524,689
  5. Step 5: Solve for x
    x = 7,287,524,689/39,100
  6. Step 6: Final answer
    x = 186,381.71

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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.