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Finding the Third Proportional to 135,671 and 294,684

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Solution

The third proportional to 135,671 and 294,684 is: 640,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,671 : 294,684 = 294,684 : x
  2. Step 2: Convert to fraction form
    135,671/294,684 = 294,684/x
  3. Step 3: Cross multiply
    135,671x = 294,684 × 294,684
  4. Step 4: Simplify right side
    135,671x = 86,838,659,856
  5. Step 5: Solve for x
    x = 86,838,659,856/135,671
  6. Step 6: Final answer
    x = 640,067.96

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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.