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Finding the Third Proportional to 196.91 and 432.21

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Solution

The third proportional to 196.91 and 432.21 is: 948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.91 : 432.21 = 432.21 : x
  2. Step 2: Convert to fraction form
    196.91/432.21 = 432.21/x
  3. Step 3: Cross multiply
    196.91x = 432.21 × 432.21
  4. Step 4: Simplify right side
    196.91x = 186,806.29
  5. Step 5: Solve for x
    x = 186,806.29/196.91
  6. Step 6: Final answer
    x = 948.69

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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.