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Finding the Third Proportional to 205,650 and 311,067

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Solution

The third proportional to 205,650 and 311,067 is: 470,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,650 : 311,067 = 311,067 : x
  2. Step 2: Convert to fraction form
    205,650/311,067 = 311,067/x
  3. Step 3: Cross multiply
    205,650x = 311,067 × 311,067
  4. Step 4: Simplify right side
    205,650x = 96,762,678,489
  5. Step 5: Solve for x
    x = 96,762,678,489/205,650
  6. Step 6: Final answer
    x = 470,521.17

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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.