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Finding the Third Proportional to 190.97 and 287.30

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Solution

The third proportional to 190.97 and 287.30 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.97 : 287.30 = 287.30 : x
  2. Step 2: Convert to fraction form
    190.97/287.30 = 287.30/x
  3. Step 3: Cross multiply
    190.97x = 287.30 × 287.30
  4. Step 4: Simplify right side
    190.97x = 82,539.49
  5. Step 5: Solve for x
    x = 82,539.49/190.97
  6. Step 6: Final answer
    x = 432.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.