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Finding the Third Proportional to 206,816 and 428,992

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Solution

The third proportional to 206,816 and 428,992 is: 889,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816 : 428,992 = 428,992 : x
  2. Step 2: Convert to fraction form
    206,816/428,992 = 428,992/x
  3. Step 3: Cross multiply
    206,816x = 428,992 × 428,992
  4. Step 4: Simplify right side
    206,816x = 184,034,136,064
  5. Step 5: Solve for x
    x = 184,034,136,064/206,816
  6. Step 6: Final answer
    x = 889,844.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.