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Finding the Third Proportional to 39,976 and 86,178

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Solution

The third proportional to 39,976 and 86,178 is: 185,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 86,178 = 86,178 : x
  2. Step 2: Convert to fraction form
    39,976/86,178 = 86,178/x
  3. Step 3: Cross multiply
    39,976x = 86,178 × 86,178
  4. Step 4: Simplify right side
    39,976x = 7,426,647,684
  5. Step 5: Solve for x
    x = 7,426,647,684/39,976
  6. Step 6: Final answer
    x = 185,777.66

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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.