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Finding the Third Proportional to 190.03 and 390.19

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Solution

The third proportional to 190.03 and 390.19 is: 801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.03 : 390.19 = 390.19 : x
  2. Step 2: Convert to fraction form
    190.03/390.19 = 390.19/x
  3. Step 3: Cross multiply
    190.03x = 390.19 × 390.19
  4. Step 4: Simplify right side
    190.03x = 152,246.29
  5. Step 5: Solve for x
    x = 152,246.29/190.03
  6. Step 6: Final answer
    x = 801.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.