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Finding the Third Proportional to 258,220 and 557,228

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Solution

The third proportional to 258,220 and 557,228 is: 1,202,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,220 : 557,228 = 557,228 : x
  2. Step 2: Convert to fraction form
    258,220/557,228 = 557,228/x
  3. Step 3: Cross multiply
    258,220x = 557,228 × 557,228
  4. Step 4: Simplify right side
    258,220x = 310,503,043,984
  5. Step 5: Solve for x
    x = 310,503,043,984/258,220
  6. Step 6: Final answer
    x = 1,202,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.