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Finding the Third Proportional to 258,150 and 555,849

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Solution

The third proportional to 258,150 and 555,849 is: 1,196,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,150 : 555,849 = 555,849 : x
  2. Step 2: Convert to fraction form
    258,150/555,849 = 555,849/x
  3. Step 3: Cross multiply
    258,150x = 555,849 × 555,849
  4. Step 4: Simplify right side
    258,150x = 308,968,110,801
  5. Step 5: Solve for x
    x = 308,968,110,801/258,150
  6. Step 6: Final answer
    x = 1,196,854.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.