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Finding the Third Proportional to 91,107 and 127,399

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Solution

The third proportional to 91,107 and 127,399 is: 178,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,107 : 127,399 = 127,399 : x
  2. Step 2: Convert to fraction form
    91,107/127,399 = 127,399/x
  3. Step 3: Cross multiply
    91,107x = 127,399 × 127,399
  4. Step 4: Simplify right side
    91,107x = 16,230,505,201
  5. Step 5: Solve for x
    x = 16,230,505,201/91,107
  6. Step 6: Final answer
    x = 178,147.73

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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.