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Finding the Third Proportional to 196,809 and 407,625

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Solution

The third proportional to 196,809 and 407,625 is: 844,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809 : 407,625 = 407,625 : x
  2. Step 2: Convert to fraction form
    196,809/407,625 = 407,625/x
  3. Step 3: Cross multiply
    196,809x = 407,625 × 407,625
  4. Step 4: Simplify right side
    196,809x = 166,158,140,625
  5. Step 5: Solve for x
    x = 166,158,140,625/196,809
  6. Step 6: Final answer
    x = 844,260.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.