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Finding the Third Proportional to 219,980 and 481,990

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Solution

The third proportional to 219,980 and 481,990 is: 1,056,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,980 : 481,990 = 481,990 : x
  2. Step 2: Convert to fraction form
    219,980/481,990 = 481,990/x
  3. Step 3: Cross multiply
    219,980x = 481,990 × 481,990
  4. Step 4: Simplify right side
    219,980x = 232,314,360,100
  5. Step 5: Solve for x
    x = 232,314,360,100/219,980
  6. Step 6: Final answer
    x = 1,056,070.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.