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Finding the Third Proportional to 85,419 and 127,732.50

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Solution

The third proportional to 85,419 and 127,732.50 is: 191,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419 : 127,732.50 = 127,732.50 : x
  2. Step 2: Convert to fraction form
    85,419/127,732.50 = 127,732.50/x
  3. Step 3: Cross multiply
    85,419x = 127,732.50 × 127,732.50
  4. Step 4: Simplify right side
    85,419x = 16,315,591,556.25
  5. Step 5: Solve for x
    x = 16,315,591,556.25/85,419
  6. Step 6: Final answer
    x = 191,006.59

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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.