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Finding the Third Proportional to 69,212 and 106,930

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Solution

The third proportional to 69,212 and 106,930 is: 165,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212 : 106,930 = 106,930 : x
  2. Step 2: Convert to fraction form
    69,212/106,930 = 106,930/x
  3. Step 3: Cross multiply
    69,212x = 106,930 × 106,930
  4. Step 4: Simplify right side
    69,212x = 11,434,024,900
  5. Step 5: Solve for x
    x = 11,434,024,900/69,212
  6. Step 6: Final answer
    x = 165,202.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.