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Finding the Third Proportional to 258,867 and 530,274

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Solution

The third proportional to 258,867 and 530,274 is: 1,086,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,867 : 530,274 = 530,274 : x
  2. Step 2: Convert to fraction form
    258,867/530,274 = 530,274/x
  3. Step 3: Cross multiply
    258,867x = 530,274 × 530,274
  4. Step 4: Simplify right side
    258,867x = 281,190,515,076
  5. Step 5: Solve for x
    x = 281,190,515,076/258,867
  6. Step 6: Final answer
    x = 1,086,235.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.