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Finding the Third Proportional to 190.63 and 396.13

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Solution

The third proportional to 190.63 and 396.13 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.63 : 396.13 = 396.13 : x
  2. Step 2: Convert to fraction form
    190.63/396.13 = 396.13/x
  3. Step 3: Cross multiply
    190.63x = 396.13 × 396.13
  4. Step 4: Simplify right side
    190.63x = 156,915.02
  5. Step 5: Solve for x
    x = 156,915.02/190.63
  6. Step 6: Final answer
    x = 823.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.