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Finding the Third Proportional to 303,205 and 656,869

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Solution

The third proportional to 303,205 and 656,869 is: 1,423,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,205 : 656,869 = 656,869 : x
  2. Step 2: Convert to fraction form
    303,205/656,869 = 656,869/x
  3. Step 3: Cross multiply
    303,205x = 656,869 × 656,869
  4. Step 4: Simplify right side
    303,205x = 431,476,883,161
  5. Step 5: Solve for x
    x = 431,476,883,161/303,205
  6. Step 6: Final answer
    x = 1,423,053.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.