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Finding the Third Proportional to 120,622 and 257,275

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Solution

The third proportional to 120,622 and 257,275 is: 548,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,622 : 257,275 = 257,275 : x
  2. Step 2: Convert to fraction form
    120,622/257,275 = 257,275/x
  3. Step 3: Cross multiply
    120,622x = 257,275 × 257,275
  4. Step 4: Simplify right side
    120,622x = 66,190,425,625
  5. Step 5: Solve for x
    x = 66,190,425,625/120,622
  6. Step 6: Final answer
    x = 548,742.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.