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Finding the Third Proportional to 57,793 and 86,455

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Solution

The third proportional to 57,793 and 86,455 is: 129,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,793 : 86,455 = 86,455 : x
  2. Step 2: Convert to fraction form
    57,793/86,455 = 86,455/x
  3. Step 3: Cross multiply
    57,793x = 86,455 × 86,455
  4. Step 4: Simplify right side
    57,793x = 7,474,467,025
  5. Step 5: Solve for x
    x = 7,474,467,025/57,793
  6. Step 6: Final answer
    x = 129,331.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.