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Finding the Third Proportional to 196.78 and 430.97

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Solution

The third proportional to 196.78 and 430.97 is: 943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 430.97 = 430.97 : x
  2. Step 2: Convert to fraction form
    196.78/430.97 = 430.97/x
  3. Step 3: Cross multiply
    196.78x = 430.97 × 430.97
  4. Step 4: Simplify right side
    196.78x = 185,734.06
  5. Step 5: Solve for x
    x = 185,734.06/196.78
  6. Step 6: Final answer
    x = 943.86

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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.