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Finding the Third Proportional to 203,170 and 309,912

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Solution

The third proportional to 203,170 and 309,912 is: 472,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,170 : 309,912 = 309,912 : x
  2. Step 2: Convert to fraction form
    203,170/309,912 = 309,912/x
  3. Step 3: Cross multiply
    203,170x = 309,912 × 309,912
  4. Step 4: Simplify right side
    203,170x = 96,045,447,744
  5. Step 5: Solve for x
    x = 96,045,447,744/203,170
  6. Step 6: Final answer
    x = 472,734.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.