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Finding the Third Proportional to 197.41 and 407.47

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Solution

The third proportional to 197.41 and 407.47 is: 841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.41 : 407.47 = 407.47 : x
  2. Step 2: Convert to fraction form
    197.41/407.47 = 407.47/x
  3. Step 3: Cross multiply
    197.41x = 407.47 × 407.47
  4. Step 4: Simplify right side
    197.41x = 166,030.78
  5. Step 5: Solve for x
    x = 166,030.78/197.41
  6. Step 6: Final answer
    x = 841.06

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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.