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Finding the Third Proportional to 122,629.50 and 263,971.50

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Solution

The third proportional to 122,629.50 and 263,971.50 is: 568,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,629.50 : 263,971.50 = 263,971.50 : x
  2. Step 2: Convert to fraction form
    122,629.50/263,971.50 = 263,971.50/x
  3. Step 3: Cross multiply
    122,629.50x = 263,971.50 × 263,971.50
  4. Step 4: Simplify right side
    122,629.50x = 69,680,952,812.25
  5. Step 5: Solve for x
    x = 69,680,952,812.25/122,629.50
  6. Step 6: Final answer
    x = 568,223.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.