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Finding the Third Proportional to 190.41 and 258.02

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Solution

The third proportional to 190.41 and 258.02 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 258.02 = 258.02 : x
  2. Step 2: Convert to fraction form
    190.41/258.02 = 258.02/x
  3. Step 3: Cross multiply
    190.41x = 258.02 × 258.02
  4. Step 4: Simplify right side
    190.41x = 66,572.06
  5. Step 5: Solve for x
    x = 66,572.06/190.41
  6. Step 6: Final answer
    x = 349.63

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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.