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Finding the Third Proportional to 120,542 and 252,100

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Solution

The third proportional to 120,542 and 252,100 is: 527,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542 : 252,100 = 252,100 : x
  2. Step 2: Convert to fraction form
    120,542/252,100 = 252,100/x
  3. Step 3: Cross multiply
    120,542x = 252,100 × 252,100
  4. Step 4: Simplify right side
    120,542x = 63,554,410,000
  5. Step 5: Solve for x
    x = 63,554,410,000/120,542
  6. Step 6: Final answer
    x = 527,238.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.