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Finding the Third Proportional to 222,994 and 480,980

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Solution

The third proportional to 222,994 and 480,980 is: 1,037,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,994 : 480,980 = 480,980 : x
  2. Step 2: Convert to fraction form
    222,994/480,980 = 480,980/x
  3. Step 3: Cross multiply
    222,994x = 480,980 × 480,980
  4. Step 4: Simplify right side
    222,994x = 231,341,760,400
  5. Step 5: Solve for x
    x = 231,341,760,400/222,994
  6. Step 6: Final answer
    x = 1,037,434.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.