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Finding the Third Proportional to 222,780 and 470,400

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Solution

The third proportional to 222,780 and 470,400 is: 993,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,780 : 470,400 = 470,400 : x
  2. Step 2: Convert to fraction form
    222,780/470,400 = 470,400/x
  3. Step 3: Cross multiply
    222,780x = 470,400 × 470,400
  4. Step 4: Simplify right side
    222,780x = 221,276,160,000
  5. Step 5: Solve for x
    x = 221,276,160,000/222,780
  6. Step 6: Final answer
    x = 993,249.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.