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Finding the Third Proportional to 112,948.50 and 150,576

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Solution

The third proportional to 112,948.50 and 150,576 is: 200,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,948.50 : 150,576 = 150,576 : x
  2. Step 2: Convert to fraction form
    112,948.50/150,576 = 150,576/x
  3. Step 3: Cross multiply
    112,948.50x = 150,576 × 150,576
  4. Step 4: Simplify right side
    112,948.50x = 22,673,131,776
  5. Step 5: Solve for x
    x = 22,673,131,776/112,948.50
  6. Step 6: Final answer
    x = 200,738.67

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