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Finding the Third Proportional to 77,759 and 163,818

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Solution

The third proportional to 77,759 and 163,818 is: 345,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,759 : 163,818 = 163,818 : x
  2. Step 2: Convert to fraction form
    77,759/163,818 = 163,818/x
  3. Step 3: Cross multiply
    77,759x = 163,818 × 163,818
  4. Step 4: Simplify right side
    77,759x = 26,836,337,124
  5. Step 5: Solve for x
    x = 26,836,337,124/77,759
  6. Step 6: Final answer
    x = 345,121.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.