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Finding the Third Proportional to 103,219.31 and 218,843.44

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Solution

The third proportional to 103,219.31 and 218,843.44 is: 463,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.31 : 218,843.44 = 218,843.44 : x
  2. Step 2: Convert to fraction form
    103,219.31/218,843.44 = 218,843.44/x
  3. Step 3: Cross multiply
    103,219.31x = 218,843.44 × 218,843.44
  4. Step 4: Simplify right side
    103,219.31x = 47,892,450,136.82
  5. Step 5: Solve for x
    x = 47,892,450,136.82/103,219.31
  6. Step 6: Final answer
    x = 463,987.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.