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Finding the Third Proportional to 258,954 and 349,869

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Solution

The third proportional to 258,954 and 349,869 is: 472,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,954 : 349,869 = 349,869 : x
  2. Step 2: Convert to fraction form
    258,954/349,869 = 349,869/x
  3. Step 3: Cross multiply
    258,954x = 349,869 × 349,869
  4. Step 4: Simplify right side
    258,954x = 122,408,317,161
  5. Step 5: Solve for x
    x = 122,408,317,161/258,954
  6. Step 6: Final answer
    x = 472,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.