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Finding the Third Proportional to 135,422 and 293,442

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Solution

The third proportional to 135,422 and 293,442 is: 635,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,422 : 293,442 = 293,442 : x
  2. Step 2: Convert to fraction form
    135,422/293,442 = 293,442/x
  3. Step 3: Cross multiply
    135,422x = 293,442 × 293,442
  4. Step 4: Simplify right side
    135,422x = 86,108,207,364
  5. Step 5: Solve for x
    x = 86,108,207,364/135,422
  6. Step 6: Final answer
    x = 635,850.95

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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.