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Finding the Third Proportional to 211,324.50 and 309,399.75

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Solution

The third proportional to 211,324.50 and 309,399.75 is: 452,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324.50 : 309,399.75 = 309,399.75 : x
  2. Step 2: Convert to fraction form
    211,324.50/309,399.75 = 309,399.75/x
  3. Step 3: Cross multiply
    211,324.50x = 309,399.75 × 309,399.75
  4. Step 4: Simplify right side
    211,324.50x = 95,728,205,300.06
  5. Step 5: Solve for x
    x = 95,728,205,300.06/211,324.50
  6. Step 6: Final answer
    x = 452,991.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.