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Finding the Third Proportional to 189.05 and 416.39

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Solution

The third proportional to 189.05 and 416.39 is: 917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 416.39 = 416.39 : x
  2. Step 2: Convert to fraction form
    189.05/416.39 = 416.39/x
  3. Step 3: Cross multiply
    189.05x = 416.39 × 416.39
  4. Step 4: Simplify right side
    189.05x = 173,381.15
  5. Step 5: Solve for x
    x = 173,381.15/189.05
  6. Step 6: Final answer
    x = 917.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.