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Finding the Third Proportional to 77,809 and 110,107

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Solution

The third proportional to 77,809 and 110,107 is: 155,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809 : 110,107 = 110,107 : x
  2. Step 2: Convert to fraction form
    77,809/110,107 = 110,107/x
  3. Step 3: Cross multiply
    77,809x = 110,107 × 110,107
  4. Step 4: Simplify right side
    77,809x = 12,123,551,449
  5. Step 5: Solve for x
    x = 12,123,551,449/77,809
  6. Step 6: Final answer
    x = 155,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.