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Finding the Third Proportional to 137,191 and 206,151

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Solution

The third proportional to 137,191 and 206,151 is: 309,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191 : 206,151 = 206,151 : x
  2. Step 2: Convert to fraction form
    137,191/206,151 = 206,151/x
  3. Step 3: Cross multiply
    137,191x = 206,151 × 206,151
  4. Step 4: Simplify right side
    137,191x = 42,498,234,801
  5. Step 5: Solve for x
    x = 42,498,234,801/137,191
  6. Step 6: Final answer
    x = 309,774.22

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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.