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Finding the Third Proportional to 135,938 and 206,787

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Solution

The third proportional to 135,938 and 206,787 is: 314,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938 : 206,787 = 206,787 : x
  2. Step 2: Convert to fraction form
    135,938/206,787 = 206,787/x
  3. Step 3: Cross multiply
    135,938x = 206,787 × 206,787
  4. Step 4: Simplify right side
    135,938x = 42,760,863,369
  5. Step 5: Solve for x
    x = 42,760,863,369/135,938
  6. Step 6: Final answer
    x = 314,561.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.