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Finding the Third Proportional to 196.07 and 405.21

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Solution

The third proportional to 196.07 and 405.21 is: 837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 405.21 = 405.21 : x
  2. Step 2: Convert to fraction form
    196.07/405.21 = 405.21/x
  3. Step 3: Cross multiply
    196.07x = 405.21 × 405.21
  4. Step 4: Simplify right side
    196.07x = 164,195.90
  5. Step 5: Solve for x
    x = 164,195.90/196.07
  6. Step 6: Final answer
    x = 837.45

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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.