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Finding the Third Proportional to 203,438 and 293,493

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Solution

The third proportional to 203,438 and 293,493 is: 423,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438 : 293,493 = 293,493 : x
  2. Step 2: Convert to fraction form
    203,438/293,493 = 293,493/x
  3. Step 3: Cross multiply
    203,438x = 293,493 × 293,493
  4. Step 4: Simplify right side
    203,438x = 86,138,141,049
  5. Step 5: Solve for x
    x = 86,138,141,049/203,438
  6. Step 6: Final answer
    x = 423,412.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.