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Finding the Third Proportional to 138,696 and 308,544

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Solution

The third proportional to 138,696 and 308,544 is: 686,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696 : 308,544 = 308,544 : x
  2. Step 2: Convert to fraction form
    138,696/308,544 = 308,544/x
  3. Step 3: Cross multiply
    138,696x = 308,544 × 308,544
  4. Step 4: Simplify right side
    138,696x = 95,199,399,936
  5. Step 5: Solve for x
    x = 95,199,399,936/138,696
  6. Step 6: Final answer
    x = 686,388.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.