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Finding the Third Proportional to 196,817 and 407,638

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Solution

The third proportional to 196,817 and 407,638 is: 844,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,817 : 407,638 = 407,638 : x
  2. Step 2: Convert to fraction form
    196,817/407,638 = 407,638/x
  3. Step 3: Cross multiply
    196,817x = 407,638 × 407,638
  4. Step 4: Simplify right side
    196,817x = 166,168,739,044
  5. Step 5: Solve for x
    x = 166,168,739,044/196,817
  6. Step 6: Final answer
    x = 844,280.42

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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.