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Finding the Third Proportional to 258,214 and 379,698

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Solution

The third proportional to 258,214 and 379,698 is: 558,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,214 : 379,698 = 379,698 : x
  2. Step 2: Convert to fraction form
    258,214/379,698 = 379,698/x
  3. Step 3: Cross multiply
    258,214x = 379,698 × 379,698
  4. Step 4: Simplify right side
    258,214x = 144,170,571,204
  5. Step 5: Solve for x
    x = 144,170,571,204/258,214
  6. Step 6: Final answer
    x = 558,337.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.