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Finding the Third Proportional to 275,286.75 and 407,813.25

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Solution

The third proportional to 275,286.75 and 407,813.25 is: 604,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,286.75 : 407,813.25 = 407,813.25 : x
  2. Step 2: Convert to fraction form
    275,286.75/407,813.25 = 407,813.25/x
  3. Step 3: Cross multiply
    275,286.75x = 407,813.25 × 407,813.25
  4. Step 4: Simplify right side
    275,286.75x = 166,311,646,875.56
  5. Step 5: Solve for x
    x = 166,311,646,875.56/275,286.75
  6. Step 6: Final answer
    x = 604,139.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.