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Finding the Third Proportional to 236,210 and 318,225

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Solution

The third proportional to 236,210 and 318,225 is: 428,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,210 : 318,225 = 318,225 : x
  2. Step 2: Convert to fraction form
    236,210/318,225 = 318,225/x
  3. Step 3: Cross multiply
    236,210x = 318,225 × 318,225
  4. Step 4: Simplify right side
    236,210x = 101,267,150,625
  5. Step 5: Solve for x
    x = 101,267,150,625/236,210
  6. Step 6: Final answer
    x = 428,716.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.