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Finding the Third Proportional to 258,250 and 557,997

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Solution

The third proportional to 258,250 and 557,997 is: 1,205,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,250 : 557,997 = 557,997 : x
  2. Step 2: Convert to fraction form
    258,250/557,997 = 557,997/x
  3. Step 3: Cross multiply
    258,250x = 557,997 × 557,997
  4. Step 4: Simplify right side
    258,250x = 311,360,652,009
  5. Step 5: Solve for x
    x = 311,360,652,009/258,250
  6. Step 6: Final answer
    x = 1,205,655.96

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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.