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Finding the Third Proportional to 258,984 and 379,188

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Solution

The third proportional to 258,984 and 379,188 is: 555,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,984 : 379,188 = 379,188 : x
  2. Step 2: Convert to fraction form
    258,984/379,188 = 379,188/x
  3. Step 3: Cross multiply
    258,984x = 379,188 × 379,188
  4. Step 4: Simplify right side
    258,984x = 143,783,539,344
  5. Step 5: Solve for x
    x = 143,783,539,344/258,984
  6. Step 6: Final answer
    x = 555,183.10

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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.