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Finding the Third Proportional to 62,190 and 136,512

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Solution

The third proportional to 62,190 and 136,512 is: 299,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,190 : 136,512 = 136,512 : x
  2. Step 2: Convert to fraction form
    62,190/136,512 = 136,512/x
  3. Step 3: Cross multiply
    62,190x = 136,512 × 136,512
  4. Step 4: Simplify right side
    62,190x = 18,635,526,144
  5. Step 5: Solve for x
    x = 18,635,526,144/62,190
  6. Step 6: Final answer
    x = 299,654.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.