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Finding the Third Proportional to 225,867 and 332,566.50

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Solution

The third proportional to 225,867 and 332,566.50 is: 489,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867 : 332,566.50 = 332,566.50 : x
  2. Step 2: Convert to fraction form
    225,867/332,566.50 = 332,566.50/x
  3. Step 3: Cross multiply
    225,867x = 332,566.50 × 332,566.50
  4. Step 4: Simplify right side
    225,867x = 110,600,476,922.25
  5. Step 5: Solve for x
    x = 110,600,476,922.25/225,867
  6. Step 6: Final answer
    x = 489,670.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.