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Finding the Third Proportional to 122,243.25 and 252,100.50

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Solution

The third proportional to 122,243.25 and 252,100.50 is: 519,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,243.25 : 252,100.50 = 252,100.50 : x
  2. Step 2: Convert to fraction form
    122,243.25/252,100.50 = 252,100.50/x
  3. Step 3: Cross multiply
    122,243.25x = 252,100.50 × 252,100.50
  4. Step 4: Simplify right side
    122,243.25x = 63,554,662,100.25
  5. Step 5: Solve for x
    x = 63,554,662,100.25/122,243.25
  6. Step 6: Final answer
    x = 519,903.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.