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Finding the Third Proportional to 258,986 and 379,191

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Solution

The third proportional to 258,986 and 379,191 is: 555,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,986 : 379,191 = 379,191 : x
  2. Step 2: Convert to fraction form
    258,986/379,191 = 379,191/x
  3. Step 3: Cross multiply
    258,986x = 379,191 × 379,191
  4. Step 4: Simplify right side
    258,986x = 143,785,814,481
  5. Step 5: Solve for x
    x = 143,785,814,481/258,986
  6. Step 6: Final answer
    x = 555,187.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.