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Finding the Third Proportional to 53,192 and 78,761

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Solution

The third proportional to 53,192 and 78,761 is: 116,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,192 : 78,761 = 78,761 : x
  2. Step 2: Convert to fraction form
    53,192/78,761 = 78,761/x
  3. Step 3: Cross multiply
    53,192x = 78,761 × 78,761
  4. Step 4: Simplify right side
    53,192x = 6,203,295,121
  5. Step 5: Solve for x
    x = 6,203,295,121/53,192
  6. Step 6: Final answer
    x = 116,620.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.