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Finding the Third Proportional to 258,392 and 548,058

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Solution

The third proportional to 258,392 and 548,058 is: 1,162,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,392 : 548,058 = 548,058 : x
  2. Step 2: Convert to fraction form
    258,392/548,058 = 548,058/x
  3. Step 3: Cross multiply
    258,392x = 548,058 × 548,058
  4. Step 4: Simplify right side
    258,392x = 300,367,571,364
  5. Step 5: Solve for x
    x = 300,367,571,364/258,392
  6. Step 6: Final answer
    x = 1,162,449.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.