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Finding the Third Proportional to 39,663 and 85,857

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Solution

The third proportional to 39,663 and 85,857 is: 185,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,663 : 85,857 = 85,857 : x
  2. Step 2: Convert to fraction form
    39,663/85,857 = 85,857/x
  3. Step 3: Cross multiply
    39,663x = 85,857 × 85,857
  4. Step 4: Simplify right side
    39,663x = 7,371,424,449
  5. Step 5: Solve for x
    x = 7,371,424,449/39,663
  6. Step 6: Final answer
    x = 185,851.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.