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Finding the Third Proportional to 207,903 and 430,067.25

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Solution

The third proportional to 207,903 and 430,067.25 is: 889,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,903 : 430,067.25 = 430,067.25 : x
  2. Step 2: Convert to fraction form
    207,903/430,067.25 = 430,067.25/x
  3. Step 3: Cross multiply
    207,903x = 430,067.25 × 430,067.25
  4. Step 4: Simplify right side
    207,903x = 184,957,839,522.56
  5. Step 5: Solve for x
    x = 184,957,839,522.56/207,903
  6. Step 6: Final answer
    x = 889,635.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.