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Finding the Third Proportional to 31,750 and 69,767

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Solution

The third proportional to 31,750 and 69,767 is: 153,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750 : 69,767 = 69,767 : x
  2. Step 2: Convert to fraction form
    31,750/69,767 = 69,767/x
  3. Step 3: Cross multiply
    31,750x = 69,767 × 69,767
  4. Step 4: Simplify right side
    31,750x = 4,867,434,289
  5. Step 5: Solve for x
    x = 4,867,434,289/31,750
  6. Step 6: Final answer
    x = 153,305.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.