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Finding the Third Proportional to 101,990.81 and 222,127.31

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Solution

The third proportional to 101,990.81 and 222,127.31 is: 483,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.81 : 222,127.31 = 222,127.31 : x
  2. Step 2: Convert to fraction form
    101,990.81/222,127.31 = 222,127.31/x
  3. Step 3: Cross multiply
    101,990.81x = 222,127.31 × 222,127.31
  4. Step 4: Simplify right side
    101,990.81x = 49,340,542,958.47
  5. Step 5: Solve for x
    x = 49,340,542,958.47/101,990.81
  6. Step 6: Final answer
    x = 483,774.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.