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Finding the Third Proportional to 203,859 and 293,638.50

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Solution

The third proportional to 203,859 and 293,638.50 is: 422,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,859 : 293,638.50 = 293,638.50 : x
  2. Step 2: Convert to fraction form
    203,859/293,638.50 = 293,638.50/x
  3. Step 3: Cross multiply
    203,859x = 293,638.50 × 293,638.50
  4. Step 4: Simplify right side
    203,859x = 86,223,568,682.25
  5. Step 5: Solve for x
    x = 86,223,568,682.25/203,859
  6. Step 6: Final answer
    x = 422,956.89

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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.