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Finding the Third Proportional to 77,836 and 110,922

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Solution

The third proportional to 77,836 and 110,922 is: 158,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,836 : 110,922 = 110,922 : x
  2. Step 2: Convert to fraction form
    77,836/110,922 = 110,922/x
  3. Step 3: Cross multiply
    77,836x = 110,922 × 110,922
  4. Step 4: Simplify right side
    77,836x = 12,303,690,084
  5. Step 5: Solve for x
    x = 12,303,690,084/77,836
  6. Step 6: Final answer
    x = 158,071.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.