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Finding the Third Proportional to 103,968.56 and 223,467.19

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Solution

The third proportional to 103,968.56 and 223,467.19 is: 480,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968.56 : 223,467.19 = 223,467.19 : x
  2. Step 2: Convert to fraction form
    103,968.56/223,467.19 = 223,467.19/x
  3. Step 3: Cross multiply
    103,968.56x = 223,467.19 × 223,467.19
  4. Step 4: Simplify right side
    103,968.56x = 49,937,583,889.16
  5. Step 5: Solve for x
    x = 49,937,583,889.16/103,968.56
  6. Step 6: Final answer
    x = 480,314.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.