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Finding the Third Proportional to 135,193 and 312,962

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Solution

The third proportional to 135,193 and 312,962 is: 724,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,193 : 312,962 = 312,962 : x
  2. Step 2: Convert to fraction form
    135,193/312,962 = 312,962/x
  3. Step 3: Cross multiply
    135,193x = 312,962 × 312,962
  4. Step 4: Simplify right side
    135,193x = 97,945,213,444
  5. Step 5: Solve for x
    x = 97,945,213,444/135,193
  6. Step 6: Final answer
    x = 724,484.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.