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Finding the Third Proportional to 39,755 and 86,983

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Solution

The third proportional to 39,755 and 86,983 is: 190,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,755 : 86,983 = 86,983 : x
  2. Step 2: Convert to fraction form
    39,755/86,983 = 86,983/x
  3. Step 3: Cross multiply
    39,755x = 86,983 × 86,983
  4. Step 4: Simplify right side
    39,755x = 7,566,042,289
  5. Step 5: Solve for x
    x = 7,566,042,289/39,755
  6. Step 6: Final answer
    x = 190,316.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.