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Finding the Third Proportional to 138,144 and 206,544

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Solution

The third proportional to 138,144 and 206,544 is: 308,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144 : 206,544 = 206,544 : x
  2. Step 2: Convert to fraction form
    138,144/206,544 = 206,544/x
  3. Step 3: Cross multiply
    138,144x = 206,544 × 206,544
  4. Step 4: Simplify right side
    138,144x = 42,660,423,936
  5. Step 5: Solve for x
    x = 42,660,423,936/138,144
  6. Step 6: Final answer
    x = 308,811.27

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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.