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Finding the Third Proportional to 126,265.50 and 280,558.13

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Solution

The third proportional to 126,265.50 and 280,558.13 is: 623,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,265.50 : 280,558.13 = 280,558.13 : x
  2. Step 2: Convert to fraction form
    126,265.50/280,558.13 = 280,558.13/x
  3. Step 3: Cross multiply
    126,265.50x = 280,558.13 × 280,558.13
  4. Step 4: Simplify right side
    126,265.50x = 78,712,861,503.52
  5. Step 5: Solve for x
    x = 78,712,861,503.52/126,265.50
  6. Step 6: Final answer
    x = 623,391.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.