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Finding the Third Proportional to 77,910 and 111,027

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Solution

The third proportional to 77,910 and 111,027 is: 158,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910 : 111,027 = 111,027 : x
  2. Step 2: Convert to fraction form
    77,910/111,027 = 111,027/x
  3. Step 3: Cross multiply
    77,910x = 111,027 × 111,027
  4. Step 4: Simplify right side
    77,910x = 12,326,994,729
  5. Step 5: Solve for x
    x = 12,326,994,729/77,910
  6. Step 6: Final answer
    x = 158,220.96

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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.