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Finding the Third Proportional to 103,625 and 154,933

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Solution

The third proportional to 103,625 and 154,933 is: 231,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625 : 154,933 = 154,933 : x
  2. Step 2: Convert to fraction form
    103,625/154,933 = 154,933/x
  3. Step 3: Cross multiply
    103,625x = 154,933 × 154,933
  4. Step 4: Simplify right side
    103,625x = 24,004,234,489
  5. Step 5: Solve for x
    x = 24,004,234,489/103,625
  6. Step 6: Final answer
    x = 231,645.21

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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.