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Finding the Third Proportional to 135,957 and 206,814

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Solution

The third proportional to 135,957 and 206,814 is: 314,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957 : 206,814 = 206,814 : x
  2. Step 2: Convert to fraction form
    135,957/206,814 = 206,814/x
  3. Step 3: Cross multiply
    135,957x = 206,814 × 206,814
  4. Step 4: Simplify right side
    135,957x = 42,772,030,596
  5. Step 5: Solve for x
    x = 42,772,030,596/135,957
  6. Step 6: Final answer
    x = 314,599.69

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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.