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Finding the Third Proportional to 149,589 and 206,735

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Solution

The third proportional to 149,589 and 206,735 is: 285,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,589 : 206,735 = 206,735 : x
  2. Step 2: Convert to fraction form
    149,589/206,735 = 206,735/x
  3. Step 3: Cross multiply
    149,589x = 206,735 × 206,735
  4. Step 4: Simplify right side
    149,589x = 42,739,360,225
  5. Step 5: Solve for x
    x = 42,739,360,225/149,589
  6. Step 6: Final answer
    x = 285,711.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.