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Finding the Third Proportional to 196,912 and 405,440

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Solution

The third proportional to 196,912 and 405,440 is: 834,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,912 : 405,440 = 405,440 : x
  2. Step 2: Convert to fraction form
    196,912/405,440 = 405,440/x
  3. Step 3: Cross multiply
    196,912x = 405,440 × 405,440
  4. Step 4: Simplify right side
    196,912x = 164,381,593,600
  5. Step 5: Solve for x
    x = 164,381,593,600/196,912
  6. Step 6: Final answer
    x = 834,797.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.