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Finding the Third Proportional to 39,766 and 86,904

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Solution

The third proportional to 39,766 and 86,904 is: 189,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,766 : 86,904 = 86,904 : x
  2. Step 2: Convert to fraction form
    39,766/86,904 = 86,904/x
  3. Step 3: Cross multiply
    39,766x = 86,904 × 86,904
  4. Step 4: Simplify right side
    39,766x = 7,552,305,216
  5. Step 5: Solve for x
    x = 7,552,305,216/39,766
  6. Step 6: Final answer
    x = 189,918.65

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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.