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Finding the Third Proportional to 31,966 and 69,763

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Solution

The third proportional to 31,966 and 69,763 is: 152,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966 : 69,763 = 69,763 : x
  2. Step 2: Convert to fraction form
    31,966/69,763 = 69,763/x
  3. Step 3: Cross multiply
    31,966x = 69,763 × 69,763
  4. Step 4: Simplify right side
    31,966x = 4,866,876,169
  5. Step 5: Solve for x
    x = 4,866,876,169/31,966
  6. Step 6: Final answer
    x = 152,251.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.