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Finding the Third Proportional to 100,621.88 and 209,511.75

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Solution

The third proportional to 100,621.88 and 209,511.75 is: 436,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,621.88 : 209,511.75 = 209,511.75 : x
  2. Step 2: Convert to fraction form
    100,621.88/209,511.75 = 209,511.75/x
  3. Step 3: Cross multiply
    100,621.88x = 209,511.75 × 209,511.75
  4. Step 4: Simplify right side
    100,621.88x = 43,895,173,388.06
  5. Step 5: Solve for x
    x = 43,895,173,388.06/100,621.88
  6. Step 6: Final answer
    x = 436,238.87

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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.