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Finding the Third Proportional to 137,180 and 206,135

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Solution

The third proportional to 137,180 and 206,135 is: 309,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,180 : 206,135 = 206,135 : x
  2. Step 2: Convert to fraction form
    137,180/206,135 = 206,135/x
  3. Step 3: Cross multiply
    137,180x = 206,135 × 206,135
  4. Step 4: Simplify right side
    137,180x = 42,491,638,225
  5. Step 5: Solve for x
    x = 42,491,638,225/137,180
  6. Step 6: Final answer
    x = 309,750.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.