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Finding the Third Proportional to 55,786 and 78,027

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Solution

The third proportional to 55,786 and 78,027 is: 109,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,786 : 78,027 = 78,027 : x
  2. Step 2: Convert to fraction form
    55,786/78,027 = 78,027/x
  3. Step 3: Cross multiply
    55,786x = 78,027 × 78,027
  4. Step 4: Simplify right side
    55,786x = 6,088,212,729
  5. Step 5: Solve for x
    x = 6,088,212,729/55,786
  6. Step 6: Final answer
    x = 109,135.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.