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Finding the Third Proportional to 205,956 and 309,987

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Solution

The third proportional to 205,956 and 309,987 is: 466,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,956 : 309,987 = 309,987 : x
  2. Step 2: Convert to fraction form
    205,956/309,987 = 309,987/x
  3. Step 3: Cross multiply
    205,956x = 309,987 × 309,987
  4. Step 4: Simplify right side
    205,956x = 96,091,940,169
  5. Step 5: Solve for x
    x = 96,091,940,169/205,956
  6. Step 6: Final answer
    x = 466,565.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.