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Finding the Third Proportional to 55,784 and 78,204

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Solution

The third proportional to 55,784 and 78,204 is: 109,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784 : 78,204 = 78,204 : x
  2. Step 2: Convert to fraction form
    55,784/78,204 = 78,204/x
  3. Step 3: Cross multiply
    55,784x = 78,204 × 78,204
  4. Step 4: Simplify right side
    55,784x = 6,115,865,616
  5. Step 5: Solve for x
    x = 6,115,865,616/55,784
  6. Step 6: Final answer
    x = 109,634.76

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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.