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Finding the Third Proportional to 258,053.50 and 557,625.88

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Solution

The third proportional to 258,053.50 and 557,625.88 is: 1,204,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,053.50 : 557,625.88 = 557,625.88 : x
  2. Step 2: Convert to fraction form
    258,053.50/557,625.88 = 557,625.88/x
  3. Step 3: Cross multiply
    258,053.50x = 557,625.88 × 557,625.88
  4. Step 4: Simplify right side
    258,053.50x = 310,946,616,469.52
  5. Step 5: Solve for x
    x = 310,946,616,469.52/258,053.50
  6. Step 6: Final answer
    x = 1,204,969.58

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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.