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Finding the Third Proportional to 120,211.50 and 257,100

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Solution

The third proportional to 120,211.50 and 257,100 is: 549,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,211.50 : 257,100 = 257,100 : x
  2. Step 2: Convert to fraction form
    120,211.50/257,100 = 257,100/x
  3. Step 3: Cross multiply
    120,211.50x = 257,100 × 257,100
  4. Step 4: Simplify right side
    120,211.50x = 66,100,410,000
  5. Step 5: Solve for x
    x = 66,100,410,000/120,211.50
  6. Step 6: Final answer
    x = 549,867.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.