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Finding the Third Proportional to 259,059 and 557,142

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Solution

The third proportional to 259,059 and 557,142 is: 1,198,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,059 : 557,142 = 557,142 : x
  2. Step 2: Convert to fraction form
    259,059/557,142 = 557,142/x
  3. Step 3: Cross multiply
    259,059x = 557,142 × 557,142
  4. Step 4: Simplify right side
    259,059x = 310,407,208,164
  5. Step 5: Solve for x
    x = 310,407,208,164/259,059
  6. Step 6: Final answer
    x = 1,198,210.48

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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.