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Finding the Third Proportional to 103,763 and 156,063

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Solution

The third proportional to 103,763 and 156,063 is: 234,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,763 : 156,063 = 156,063 : x
  2. Step 2: Convert to fraction form
    103,763/156,063 = 156,063/x
  3. Step 3: Cross multiply
    103,763x = 156,063 × 156,063
  4. Step 4: Simplify right side
    103,763x = 24,355,659,969
  5. Step 5: Solve for x
    x = 24,355,659,969/103,763
  6. Step 6: Final answer
    x = 234,723.94

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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.