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Finding the Third Proportional to 135,686 and 293,960

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Solution

The third proportional to 135,686 and 293,960 is: 636,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,686 : 293,960 = 293,960 : x
  2. Step 2: Convert to fraction form
    135,686/293,960 = 293,960/x
  3. Step 3: Cross multiply
    135,686x = 293,960 × 293,960
  4. Step 4: Simplify right side
    135,686x = 86,412,481,600
  5. Step 5: Solve for x
    x = 86,412,481,600/135,686
  6. Step 6: Final answer
    x = 636,856.28

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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.