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Finding the Third Proportional to 135,379 and 293,357

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Solution

The third proportional to 135,379 and 293,357 is: 635,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,379 : 293,357 = 293,357 : x
  2. Step 2: Convert to fraction form
    135,379/293,357 = 293,357/x
  3. Step 3: Cross multiply
    135,379x = 293,357 × 293,357
  4. Step 4: Simplify right side
    135,379x = 86,058,329,449
  5. Step 5: Solve for x
    x = 86,058,329,449/135,379
  6. Step 6: Final answer
    x = 635,684.48

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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.