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Finding the Third Proportional to 39,750 and 84,238.50

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Solution

The third proportional to 39,750 and 84,238.50 is: 178,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750 : 84,238.50 = 84,238.50 : x
  2. Step 2: Convert to fraction form
    39,750/84,238.50 = 84,238.50/x
  3. Step 3: Cross multiply
    39,750x = 84,238.50 × 84,238.50
  4. Step 4: Simplify right side
    39,750x = 7,096,124,882.25
  5. Step 5: Solve for x
    x = 7,096,124,882.25/39,750
  6. Step 6: Final answer
    x = 178,518.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.