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Finding the Third Proportional to 196.75 and 430.91

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Solution

The third proportional to 196.75 and 430.91 is: 943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 430.91 = 430.91 : x
  2. Step 2: Convert to fraction form
    196.75/430.91 = 430.91/x
  3. Step 3: Cross multiply
    196.75x = 430.91 × 430.91
  4. Step 4: Simplify right side
    196.75x = 185,680.20
  5. Step 5: Solve for x
    x = 185,680.20/196.75
  6. Step 6: Final answer
    x = 943.74

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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.