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Finding the Third Proportional to 135,268 and 293,864

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Solution

The third proportional to 135,268 and 293,864 is: 638,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,268 : 293,864 = 293,864 : x
  2. Step 2: Convert to fraction form
    135,268/293,864 = 293,864/x
  3. Step 3: Cross multiply
    135,268x = 293,864 × 293,864
  4. Step 4: Simplify right side
    135,268x = 86,356,050,496
  5. Step 5: Solve for x
    x = 86,356,050,496/135,268
  6. Step 6: Final answer
    x = 638,407.09

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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.