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Finding the Third Proportional to 179.19 and 392.94

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Solution

The third proportional to 179.19 and 392.94 is: 861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.19 : 392.94 = 392.94 : x
  2. Step 2: Convert to fraction form
    179.19/392.94 = 392.94/x
  3. Step 3: Cross multiply
    179.19x = 392.94 × 392.94
  4. Step 4: Simplify right side
    179.19x = 154,399.88
  5. Step 5: Solve for x
    x = 154,399.88/179.19
  6. Step 6: Final answer
    x = 861.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.