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Finding the Third Proportional to 208,914.75 and 322,956

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Solution

The third proportional to 208,914.75 and 322,956 is: 499,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914.75 : 322,956 = 322,956 : x
  2. Step 2: Convert to fraction form
    208,914.75/322,956 = 322,956/x
  3. Step 3: Cross multiply
    208,914.75x = 322,956 × 322,956
  4. Step 4: Simplify right side
    208,914.75x = 104,300,577,936
  5. Step 5: Solve for x
    x = 104,300,577,936/208,914.75
  6. Step 6: Final answer
    x = 499,249.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.