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Finding the Third Proportional to 197.17 and 407.16

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Solution

The third proportional to 197.17 and 407.16 is: 840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 407.16 = 407.16 : x
  2. Step 2: Convert to fraction form
    197.17/407.16 = 407.16/x
  3. Step 3: Cross multiply
    197.17x = 407.16 × 407.16
  4. Step 4: Simplify right side
    197.17x = 165,780.98
  5. Step 5: Solve for x
    x = 165,780.98/197.17
  6. Step 6: Final answer
    x = 840.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.