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Finding the Third Proportional to 77,981 and 164,110

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Solution

The third proportional to 77,981 and 164,110 is: 345,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,981 : 164,110 = 164,110 : x
  2. Step 2: Convert to fraction form
    77,981/164,110 = 164,110/x
  3. Step 3: Cross multiply
    77,981x = 164,110 × 164,110
  4. Step 4: Simplify right side
    77,981x = 26,932,092,100
  5. Step 5: Solve for x
    x = 26,932,092,100/77,981
  6. Step 6: Final answer
    x = 345,367.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.