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Finding the Third Proportional to 120,530 and 257,058

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Solution

The third proportional to 120,530 and 257,058 is: 548,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530 : 257,058 = 257,058 : x
  2. Step 2: Convert to fraction form
    120,530/257,058 = 257,058/x
  3. Step 3: Cross multiply
    120,530x = 257,058 × 257,058
  4. Step 4: Simplify right side
    120,530x = 66,078,815,364
  5. Step 5: Solve for x
    x = 66,078,815,364/120,530
  6. Step 6: Final answer
    x = 548,235.42

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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.