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Finding the Third Proportional to 135,397 and 293,393

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Solution

The third proportional to 135,397 and 293,393 is: 635,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,397 : 293,393 = 293,393 : x
  2. Step 2: Convert to fraction form
    135,397/293,393 = 293,393/x
  3. Step 3: Cross multiply
    135,397x = 293,393 × 293,393
  4. Step 4: Simplify right side
    135,397x = 86,079,452,449
  5. Step 5: Solve for x
    x = 86,079,452,449/135,397
  6. Step 6: Final answer
    x = 635,755.98

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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.