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Finding the Third Proportional to 122,140.50 and 269,134.50

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Solution

The third proportional to 122,140.50 and 269,134.50 is: 593,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,140.50 : 269,134.50 = 269,134.50 : x
  2. Step 2: Convert to fraction form
    122,140.50/269,134.50 = 269,134.50/x
  3. Step 3: Cross multiply
    122,140.50x = 269,134.50 × 269,134.50
  4. Step 4: Simplify right side
    122,140.50x = 72,433,379,090.25
  5. Step 5: Solve for x
    x = 72,433,379,090.25/122,140.50
  6. Step 6: Final answer
    x = 593,033.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.