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Finding the Third Proportional to 324,099 and 430,067.25

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Solution

The third proportional to 324,099 and 430,067.25 is: 570,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,099 : 430,067.25 = 430,067.25 : x
  2. Step 2: Convert to fraction form
    324,099/430,067.25 = 430,067.25/x
  3. Step 3: Cross multiply
    324,099x = 430,067.25 × 430,067.25
  4. Step 4: Simplify right side
    324,099x = 184,957,839,522.56
  5. Step 5: Solve for x
    x = 184,957,839,522.56/324,099
  6. Step 6: Final answer
    x = 570,683.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.