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Finding the Third Proportional to 39,980 and 81,334

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Solution

The third proportional to 39,980 and 81,334 is: 165,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,980 : 81,334 = 81,334 : x
  2. Step 2: Convert to fraction form
    39,980/81,334 = 81,334/x
  3. Step 3: Cross multiply
    39,980x = 81,334 × 81,334
  4. Step 4: Simplify right side
    39,980x = 6,615,219,556
  5. Step 5: Solve for x
    x = 6,615,219,556/39,980
  6. Step 6: Final answer
    x = 165,463.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.