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Finding the Third Proportional to 203,161.50 and 309,899.25

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Solution

The third proportional to 203,161.50 and 309,899.25 is: 472,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,161.50 : 309,899.25 = 309,899.25 : x
  2. Step 2: Convert to fraction form
    203,161.50/309,899.25 = 309,899.25/x
  3. Step 3: Cross multiply
    203,161.50x = 309,899.25 × 309,899.25
  4. Step 4: Simplify right side
    203,161.50x = 96,037,545,150.56
  5. Step 5: Solve for x
    x = 96,037,545,150.56/203,161.50
  6. Step 6: Final answer
    x = 472,715.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.