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Finding the Third Proportional to 205,286 and 326,899

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Solution

The third proportional to 205,286 and 326,899 is: 520,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,286 : 326,899 = 326,899 : x
  2. Step 2: Convert to fraction form
    205,286/326,899 = 326,899/x
  3. Step 3: Cross multiply
    205,286x = 326,899 × 326,899
  4. Step 4: Simplify right side
    205,286x = 106,862,956,201
  5. Step 5: Solve for x
    x = 106,862,956,201/205,286
  6. Step 6: Final answer
    x = 520,556.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.