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Finding the Third Proportional to 39,571 and 86,918

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Solution

The third proportional to 39,571 and 86,918 is: 190,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,571 : 86,918 = 86,918 : x
  2. Step 2: Convert to fraction form
    39,571/86,918 = 86,918/x
  3. Step 3: Cross multiply
    39,571x = 86,918 × 86,918
  4. Step 4: Simplify right side
    39,571x = 7,554,738,724
  5. Step 5: Solve for x
    x = 7,554,738,724/39,571
  6. Step 6: Final answer
    x = 190,916.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.