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Finding the Third Proportional to 199,620 and 426,912

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Solution

The third proportional to 199,620 and 426,912 is: 913,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,620 : 426,912 = 426,912 : x
  2. Step 2: Convert to fraction form
    199,620/426,912 = 426,912/x
  3. Step 3: Cross multiply
    199,620x = 426,912 × 426,912
  4. Step 4: Simplify right side
    199,620x = 182,253,855,744
  5. Step 5: Solve for x
    x = 182,253,855,744/199,620
  6. Step 6: Final answer
    x = 913,003.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.