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Finding the Third Proportional to 258,447 and 548,205

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Solution

The third proportional to 258,447 and 548,205 is: 1,162,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,447 : 548,205 = 548,205 : x
  2. Step 2: Convert to fraction form
    258,447/548,205 = 548,205/x
  3. Step 3: Cross multiply
    258,447x = 548,205 × 548,205
  4. Step 4: Simplify right side
    258,447x = 300,528,722,025
  5. Step 5: Solve for x
    x = 300,528,722,025/258,447
  6. Step 6: Final answer
    x = 1,162,825.35

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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.