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Finding the Third Proportional to 223,146.75 and 490,519.50

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Solution

The third proportional to 223,146.75 and 490,519.50 is: 1,078,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,146.75 : 490,519.50 = 490,519.50 : x
  2. Step 2: Convert to fraction form
    223,146.75/490,519.50 = 490,519.50/x
  3. Step 3: Cross multiply
    223,146.75x = 490,519.50 × 490,519.50
  4. Step 4: Simplify right side
    223,146.75x = 240,609,379,880.25
  5. Step 5: Solve for x
    x = 240,609,379,880.25/223,146.75
  6. Step 6: Final answer
    x = 1,078,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.