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Finding the Third Proportional to 120,058 and 257,610

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Solution

The third proportional to 120,058 and 257,610 is: 552,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058 : 257,610 = 257,610 : x
  2. Step 2: Convert to fraction form
    120,058/257,610 = 257,610/x
  3. Step 3: Cross multiply
    120,058x = 257,610 × 257,610
  4. Step 4: Simplify right side
    120,058x = 66,362,912,100
  5. Step 5: Solve for x
    x = 66,362,912,100/120,058
  6. Step 6: Final answer
    x = 552,757.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.