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Finding the Third Proportional to 145.41 and 197.81

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Solution

The third proportional to 145.41 and 197.81 is: 269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 197.81 = 197.81 : x
  2. Step 2: Convert to fraction form
    145.41/197.81 = 197.81/x
  3. Step 3: Cross multiply
    145.41x = 197.81 × 197.81
  4. Step 4: Simplify right side
    145.41x = 39,129.79
  5. Step 5: Solve for x
    x = 39,129.79/145.41
  6. Step 6: Final answer
    x = 269.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.