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Finding the Third Proportional to 213,556.50 and 309,318.75

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Solution

The third proportional to 213,556.50 and 309,318.75 is: 448,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,556.50 : 309,318.75 = 309,318.75 : x
  2. Step 2: Convert to fraction form
    213,556.50/309,318.75 = 309,318.75/x
  3. Step 3: Cross multiply
    213,556.50x = 309,318.75 × 309,318.75
  4. Step 4: Simplify right side
    213,556.50x = 95,678,089,101.56
  5. Step 5: Solve for x
    x = 95,678,089,101.56/213,556.50
  6. Step 6: Final answer
    x = 448,022.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.