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Finding the Third Proportional to 100,576.69 and 209,420.44

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Solution

The third proportional to 100,576.69 and 209,420.44 is: 436,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.69 : 209,420.44 = 209,420.44 : x
  2. Step 2: Convert to fraction form
    100,576.69/209,420.44 = 209,420.44/x
  3. Step 3: Cross multiply
    100,576.69x = 209,420.44 × 209,420.44
  4. Step 4: Simplify right side
    100,576.69x = 43,856,919,642.69
  5. Step 5: Solve for x
    x = 43,856,919,642.69/100,576.69
  6. Step 6: Final answer
    x = 436,054.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.