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Finding the Third Proportional to 230,407 and 505,099

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Solution

The third proportional to 230,407 and 505,099 is: 1,107,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,407 : 505,099 = 505,099 : x
  2. Step 2: Convert to fraction form
    230,407/505,099 = 505,099/x
  3. Step 3: Cross multiply
    230,407x = 505,099 × 505,099
  4. Step 4: Simplify right side
    230,407x = 255,124,999,801
  5. Step 5: Solve for x
    x = 255,124,999,801/230,407
  6. Step 6: Final answer
    x = 1,107,279.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.