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Finding the Third Proportional to 311,178 and 633,770

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Solution

The third proportional to 311,178 and 633,770 is: 1,290,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,178 : 633,770 = 633,770 : x
  2. Step 2: Convert to fraction form
    311,178/633,770 = 633,770/x
  3. Step 3: Cross multiply
    311,178x = 633,770 × 633,770
  4. Step 4: Simplify right side
    311,178x = 401,664,412,900
  5. Step 5: Solve for x
    x = 401,664,412,900/311,178
  6. Step 6: Final answer
    x = 1,290,786.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.