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Finding the Third Proportional to 77,161 and 163,802

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Solution

The third proportional to 77,161 and 163,802 is: 347,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161 : 163,802 = 163,802 : x
  2. Step 2: Convert to fraction form
    77,161/163,802 = 163,802/x
  3. Step 3: Cross multiply
    77,161x = 163,802 × 163,802
  4. Step 4: Simplify right side
    77,161x = 26,831,095,204
  5. Step 5: Solve for x
    x = 26,831,095,204/77,161
  6. Step 6: Final answer
    x = 347,728.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.