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Finding the Third Proportional to 90,619.88 and 213,230.44

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Solution

The third proportional to 90,619.88 and 213,230.44 is: 501,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,619.88 : 213,230.44 = 213,230.44 : x
  2. Step 2: Convert to fraction form
    90,619.88/213,230.44 = 213,230.44/x
  3. Step 3: Cross multiply
    90,619.88x = 213,230.44 × 213,230.44
  4. Step 4: Simplify right side
    90,619.88x = 45,467,219,476.44
  5. Step 5: Solve for x
    x = 45,467,219,476.44/90,619.88
  6. Step 6: Final answer
    x = 501,735.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.