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Finding the Third Proportional to 208,375 and 322,858

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Solution

The third proportional to 208,375 and 322,858 is: 500,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,375 : 322,858 = 322,858 : x
  2. Step 2: Convert to fraction form
    208,375/322,858 = 322,858/x
  3. Step 3: Cross multiply
    208,375x = 322,858 × 322,858
  4. Step 4: Simplify right side
    208,375x = 104,237,288,164
  5. Step 5: Solve for x
    x = 104,237,288,164/208,375
  6. Step 6: Final answer
    x = 500,238.94

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