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Finding the Third Proportional to 140,866.50 and 332,195.25

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Solution

The third proportional to 140,866.50 and 332,195.25 is: 783,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.50 : 332,195.25 = 332,195.25 : x
  2. Step 2: Convert to fraction form
    140,866.50/332,195.25 = 332,195.25/x
  3. Step 3: Cross multiply
    140,866.50x = 332,195.25 × 332,195.25
  4. Step 4: Simplify right side
    140,866.50x = 110,353,684,122.56
  5. Step 5: Solve for x
    x = 110,353,684,122.56/140,866.50
  6. Step 6: Final answer
    x = 783,391.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.