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Finding the Third Proportional to 202,509 and 303,187

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Solution

The third proportional to 202,509 and 303,187 is: 453,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509 : 303,187 = 303,187 : x
  2. Step 2: Convert to fraction form
    202,509/303,187 = 303,187/x
  3. Step 3: Cross multiply
    202,509x = 303,187 × 303,187
  4. Step 4: Simplify right side
    202,509x = 91,922,356,969
  5. Step 5: Solve for x
    x = 91,922,356,969/202,509
  6. Step 6: Final answer
    x = 453,917.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.