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Finding the Third Proportional to 85,240 and 127,860

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Solution

The third proportional to 85,240 and 127,860 is: 191,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,240 : 127,860 = 127,860 : x
  2. Step 2: Convert to fraction form
    85,240/127,860 = 127,860/x
  3. Step 3: Cross multiply
    85,240x = 127,860 × 127,860
  4. Step 4: Simplify right side
    85,240x = 16,348,179,600
  5. Step 5: Solve for x
    x = 16,348,179,600/85,240
  6. Step 6: Final answer
    x = 191,790

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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.