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Finding the Third Proportional to 205,779 and 433,974

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Solution

The third proportional to 205,779 and 433,974 is: 915,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,779 : 433,974 = 433,974 : x
  2. Step 2: Convert to fraction form
    205,779/433,974 = 433,974/x
  3. Step 3: Cross multiply
    205,779x = 433,974 × 433,974
  4. Step 4: Simplify right side
    205,779x = 188,333,432,676
  5. Step 5: Solve for x
    x = 188,333,432,676/205,779
  6. Step 6: Final answer
    x = 915,221.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.