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Finding the Third Proportional to 189.84 and 383.48

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Solution

The third proportional to 189.84 and 383.48 is: 774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 383.48 = 383.48 : x
  2. Step 2: Convert to fraction form
    189.84/383.48 = 383.48/x
  3. Step 3: Cross multiply
    189.84x = 383.48 × 383.48
  4. Step 4: Simplify right side
    189.84x = 147,060.27
  5. Step 5: Solve for x
    x = 147,060.27/189.84
  6. Step 6: Final answer
    x = 774.64

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.