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Finding the Third Proportional to 223,119 and 490,322

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Solution

The third proportional to 223,119 and 490,322 is: 1,077,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,119 : 490,322 = 490,322 : x
  2. Step 2: Convert to fraction form
    223,119/490,322 = 490,322/x
  3. Step 3: Cross multiply
    223,119x = 490,322 × 490,322
  4. Step 4: Simplify right side
    223,119x = 240,415,663,684
  5. Step 5: Solve for x
    x = 240,415,663,684/223,119
  6. Step 6: Final answer
    x = 1,077,522.15

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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.