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Finding the Third Proportional to 355,231.50 and 677,725.50

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Solution

The third proportional to 355,231.50 and 677,725.50 is: 1,292,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,231.50 : 677,725.50 = 677,725.50 : x
  2. Step 2: Convert to fraction form
    355,231.50/677,725.50 = 677,725.50/x
  3. Step 3: Cross multiply
    355,231.50x = 677,725.50 × 677,725.50
  4. Step 4: Simplify right side
    355,231.50x = 459,311,853,350.25
  5. Step 5: Solve for x
    x = 459,311,853,350.25/355,231.50
  6. Step 6: Final answer
    x = 1,292,993.03

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.