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Finding the Third Proportional to 205,668 and 311,092

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Solution

The third proportional to 205,668 and 311,092 is: 470,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,668 : 311,092 = 311,092 : x
  2. Step 2: Convert to fraction form
    205,668/311,092 = 311,092/x
  3. Step 3: Cross multiply
    205,668x = 311,092 × 311,092
  4. Step 4: Simplify right side
    205,668x = 96,778,232,464
  5. Step 5: Solve for x
    x = 96,778,232,464/205,668
  6. Step 6: Final answer
    x = 470,555.62

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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.