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Finding the Third Proportional to 190.03 and 386.81

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Solution

The third proportional to 190.03 and 386.81 is: 787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.03 : 386.81 = 386.81 : x
  2. Step 2: Convert to fraction form
    190.03/386.81 = 386.81/x
  3. Step 3: Cross multiply
    190.03x = 386.81 × 386.81
  4. Step 4: Simplify right side
    190.03x = 149,623.91
  5. Step 5: Solve for x
    x = 149,623.91/190.03
  6. Step 6: Final answer
    x = 787.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.