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Finding the Third Proportional to 69,645 and 149,766

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Solution

The third proportional to 69,645 and 149,766 is: 322,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,645 : 149,766 = 149,766 : x
  2. Step 2: Convert to fraction form
    69,645/149,766 = 149,766/x
  3. Step 3: Cross multiply
    69,645x = 149,766 × 149,766
  4. Step 4: Simplify right side
    69,645x = 22,429,854,756
  5. Step 5: Solve for x
    x = 22,429,854,756/69,645
  6. Step 6: Final answer
    x = 322,059.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.