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Finding the Third Proportional to 137,797 and 206,694

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Solution

The third proportional to 137,797 and 206,694 is: 310,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797 : 206,694 = 206,694 : x
  2. Step 2: Convert to fraction form
    137,797/206,694 = 206,694/x
  3. Step 3: Cross multiply
    137,797x = 206,694 × 206,694
  4. Step 4: Simplify right side
    137,797x = 42,722,409,636
  5. Step 5: Solve for x
    x = 42,722,409,636/137,797
  6. Step 6: Final answer
    x = 310,038.75

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