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Finding the Third Proportional to 7,512 and 12,099

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Solution

The third proportional to 7,512 and 12,099 is: 19,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 12,099 = 12,099 : x
  2. Step 2: Convert to fraction form
    7,512/12,099 = 12,099/x
  3. Step 3: Cross multiply
    7,512x = 12,099 × 12,099
  4. Step 4: Simplify right side
    7,512x = 146,385,801
  5. Step 5: Solve for x
    x = 146,385,801/7,512
  6. Step 6: Final answer
    x = 19,486.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.