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Finding the Third Proportional to 419,556 and 629,190

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Solution

The third proportional to 419,556 and 629,190 is: 943,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,556 : 629,190 = 629,190 : x
  2. Step 2: Convert to fraction form
    419,556/629,190 = 629,190/x
  3. Step 3: Cross multiply
    419,556x = 629,190 × 629,190
  4. Step 4: Simplify right side
    419,556x = 395,880,056,100
  5. Step 5: Solve for x
    x = 395,880,056,100/419,556
  6. Step 6: Final answer
    x = 943,569.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.