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Finding the Third Proportional to 190.17 and 411.66

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Solution

The third proportional to 190.17 and 411.66 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.17 : 411.66 = 411.66 : x
  2. Step 2: Convert to fraction form
    190.17/411.66 = 411.66/x
  3. Step 3: Cross multiply
    190.17x = 411.66 × 411.66
  4. Step 4: Simplify right side
    190.17x = 169,467.50
  5. Step 5: Solve for x
    x = 169,467.50/190.17
  6. Step 6: Final answer
    x = 891.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.