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Finding the Third Proportional to 252,741 and 380,137.50

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Solution

The third proportional to 252,741 and 380,137.50 is: 571,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,741 : 380,137.50 = 380,137.50 : x
  2. Step 2: Convert to fraction form
    252,741/380,137.50 = 380,137.50/x
  3. Step 3: Cross multiply
    252,741x = 380,137.50 × 380,137.50
  4. Step 4: Simplify right side
    252,741x = 144,504,518,906.25
  5. Step 5: Solve for x
    x = 144,504,518,906.25/252,741
  6. Step 6: Final answer
    x = 571,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.