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Finding the Third Proportional to 120,682 and 257,392

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Solution

The third proportional to 120,682 and 257,392 is: 548,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,682 : 257,392 = 257,392 : x
  2. Step 2: Convert to fraction form
    120,682/257,392 = 257,392/x
  3. Step 3: Cross multiply
    120,682x = 257,392 × 257,392
  4. Step 4: Simplify right side
    120,682x = 66,250,641,664
  5. Step 5: Solve for x
    x = 66,250,641,664/120,682
  6. Step 6: Final answer
    x = 548,968.71

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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.