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Finding the Third Proportional to 222,971 and 490,222

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Solution

The third proportional to 222,971 and 490,222 is: 1,077,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971 : 490,222 = 490,222 : x
  2. Step 2: Convert to fraction form
    222,971/490,222 = 490,222/x
  3. Step 3: Cross multiply
    222,971x = 490,222 × 490,222
  4. Step 4: Simplify right side
    222,971x = 240,317,609,284
  5. Step 5: Solve for x
    x = 240,317,609,284/222,971
  6. Step 6: Final answer
    x = 1,077,797.60

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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.