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Finding the Third Proportional to 39,638 and 85,918

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Solution

The third proportional to 39,638 and 85,918 is: 186,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,638 : 85,918 = 85,918 : x
  2. Step 2: Convert to fraction form
    39,638/85,918 = 85,918/x
  3. Step 3: Cross multiply
    39,638x = 85,918 × 85,918
  4. Step 4: Simplify right side
    39,638x = 7,381,902,724
  5. Step 5: Solve for x
    x = 7,381,902,724/39,638
  6. Step 6: Final answer
    x = 186,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.