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Finding the Third Proportional to 258,960 and 349,878

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Solution

The third proportional to 258,960 and 349,878 is: 472,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,960 : 349,878 = 349,878 : x
  2. Step 2: Convert to fraction form
    258,960/349,878 = 349,878/x
  3. Step 3: Cross multiply
    258,960x = 349,878 × 349,878
  4. Step 4: Simplify right side
    258,960x = 122,414,614,884
  5. Step 5: Solve for x
    x = 122,414,614,884/258,960
  6. Step 6: Final answer
    x = 472,716.31

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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.