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Finding the Third Proportional to 258,445 and 548,201

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Solution

The third proportional to 258,445 and 548,201 is: 1,162,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,445 : 548,201 = 548,201 : x
  2. Step 2: Convert to fraction form
    258,445/548,201 = 548,201/x
  3. Step 3: Cross multiply
    258,445x = 548,201 × 548,201
  4. Step 4: Simplify right side
    258,445x = 300,524,336,401
  5. Step 5: Solve for x
    x = 300,524,336,401/258,445
  6. Step 6: Final answer
    x = 1,162,817.37

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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.