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Finding the Third Proportional to 7,669 and 12,235

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Solution

The third proportional to 7,669 and 12,235 is: 19,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669 : 12,235 = 12,235 : x
  2. Step 2: Convert to fraction form
    7,669/12,235 = 12,235/x
  3. Step 3: Cross multiply
    7,669x = 12,235 × 12,235
  4. Step 4: Simplify right side
    7,669x = 149,695,225
  5. Step 5: Solve for x
    x = 149,695,225/7,669
  6. Step 6: Final answer
    x = 19,519.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.