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Finding the Third Proportional to 135,578 and 206,130

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Solution

The third proportional to 135,578 and 206,130 is: 313,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,578 : 206,130 = 206,130 : x
  2. Step 2: Convert to fraction form
    135,578/206,130 = 206,130/x
  3. Step 3: Cross multiply
    135,578x = 206,130 × 206,130
  4. Step 4: Simplify right side
    135,578x = 42,489,576,900
  5. Step 5: Solve for x
    x = 42,489,576,900/135,578
  6. Step 6: Final answer
    x = 313,395.81

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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.