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Finding the Third Proportional to 258,252 and 557,999

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Solution

The third proportional to 258,252 and 557,999 is: 1,205,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,252 : 557,999 = 557,999 : x
  2. Step 2: Convert to fraction form
    258,252/557,999 = 557,999/x
  3. Step 3: Cross multiply
    258,252x = 557,999 × 557,999
  4. Step 4: Simplify right side
    258,252x = 311,362,884,001
  5. Step 5: Solve for x
    x = 311,362,884,001/258,252
  6. Step 6: Final answer
    x = 1,205,655.27

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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.