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Finding the Third Proportional to 639,745.50 and 962,215.50

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Solution

The third proportional to 639,745.50 and 962,215.50 is: 1,447,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,745.50 : 962,215.50 = 962,215.50 : x
  2. Step 2: Convert to fraction form
    639,745.50/962,215.50 = 962,215.50/x
  3. Step 3: Cross multiply
    639,745.50x = 962,215.50 × 962,215.50
  4. Step 4: Simplify right side
    639,745.50x = 925,858,668,440.25
  5. Step 5: Solve for x
    x = 925,858,668,440.25/639,745.50
  6. Step 6: Final answer
    x = 1,447,229.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.