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Finding the Third Proportional to 69,458 and 149,734

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Solution

The third proportional to 69,458 and 149,734 is: 322,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,458 : 149,734 = 149,734 : x
  2. Step 2: Convert to fraction form
    69,458/149,734 = 149,734/x
  3. Step 3: Cross multiply
    69,458x = 149,734 × 149,734
  4. Step 4: Simplify right side
    69,458x = 22,420,270,756
  5. Step 5: Solve for x
    x = 22,420,270,756/69,458
  6. Step 6: Final answer
    x = 322,788.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.