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Finding the Third Proportional to 196.13 and 428.81

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Solution

The third proportional to 196.13 and 428.81 is: 937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 428.81 = 428.81 : x
  2. Step 2: Convert to fraction form
    196.13/428.81 = 428.81/x
  3. Step 3: Cross multiply
    196.13x = 428.81 × 428.81
  4. Step 4: Simplify right side
    196.13x = 183,880.16
  5. Step 5: Solve for x
    x = 183,880.16/196.13
  6. Step 6: Final answer
    x = 937.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.