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Finding the Third Proportional to 135,820 and 203,986

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Solution

The third proportional to 135,820 and 203,986 is: 306,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820 : 203,986 = 203,986 : x
  2. Step 2: Convert to fraction form
    135,820/203,986 = 203,986/x
  3. Step 3: Cross multiply
    135,820x = 203,986 × 203,986
  4. Step 4: Simplify right side
    135,820x = 41,610,288,196
  5. Step 5: Solve for x
    x = 41,610,288,196/135,820
  6. Step 6: Final answer
    x = 306,363.48

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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.