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Finding the Third Proportional to 202,170 and 313,912

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Solution

The third proportional to 202,170 and 313,912 is: 487,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,170 : 313,912 = 313,912 : x
  2. Step 2: Convert to fraction form
    202,170/313,912 = 313,912/x
  3. Step 3: Cross multiply
    202,170x = 313,912 × 313,912
  4. Step 4: Simplify right side
    202,170x = 98,540,743,744
  5. Step 5: Solve for x
    x = 98,540,743,744/202,170
  6. Step 6: Final answer
    x = 487,415.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.