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Finding the Third Proportional to 133,728 and 293,696

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Solution

The third proportional to 133,728 and 293,696 is: 645,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728 : 293,696 = 293,696 : x
  2. Step 2: Convert to fraction form
    133,728/293,696 = 293,696/x
  3. Step 3: Cross multiply
    133,728x = 293,696 × 293,696
  4. Step 4: Simplify right side
    133,728x = 86,257,340,416
  5. Step 5: Solve for x
    x = 86,257,340,416/133,728
  6. Step 6: Final answer
    x = 645,020.79

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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.