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Finding the Third Proportional to 258,449 and 548,209

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Solution

The third proportional to 258,449 and 548,209 is: 1,162,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,449 : 548,209 = 548,209 : x
  2. Step 2: Convert to fraction form
    258,449/548,209 = 548,209/x
  3. Step 3: Cross multiply
    258,449x = 548,209 × 548,209
  4. Step 4: Simplify right side
    258,449x = 300,533,107,681
  5. Step 5: Solve for x
    x = 300,533,107,681/258,449
  6. Step 6: Final answer
    x = 1,162,833.32

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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.