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Finding the Third Proportional to 100,405.50 and 211,164.38

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Solution

The third proportional to 100,405.50 and 211,164.38 is: 444,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.50 : 211,164.38 = 211,164.38 : x
  2. Step 2: Convert to fraction form
    100,405.50/211,164.38 = 211,164.38/x
  3. Step 3: Cross multiply
    100,405.50x = 211,164.38 × 211,164.38
  4. Step 4: Simplify right side
    100,405.50x = 44,590,393,269.14
  5. Step 5: Solve for x
    x = 44,590,393,269.14/100,405.50
  6. Step 6: Final answer
    x = 444,103.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.