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Finding the Third Proportional to 135,818 and 203,983

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Solution

The third proportional to 135,818 and 203,983 is: 306,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,818 : 203,983 = 203,983 : x
  2. Step 2: Convert to fraction form
    135,818/203,983 = 203,983/x
  3. Step 3: Cross multiply
    135,818x = 203,983 × 203,983
  4. Step 4: Simplify right side
    135,818x = 41,609,064,289
  5. Step 5: Solve for x
    x = 41,609,064,289/135,818
  6. Step 6: Final answer
    x = 306,358.98

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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.