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Finding the Third Proportional to 135,680 and 294,704

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Solution

The third proportional to 135,680 and 294,704 is: 640,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,680 : 294,704 = 294,704 : x
  2. Step 2: Convert to fraction form
    135,680/294,704 = 294,704/x
  3. Step 3: Cross multiply
    135,680x = 294,704 × 294,704
  4. Step 4: Simplify right side
    135,680x = 86,850,447,616
  5. Step 5: Solve for x
    x = 86,850,447,616/135,680
  6. Step 6: Final answer
    x = 640,112.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.