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Finding the Third Proportional to 188,883 and 285,144

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Solution

The third proportional to 188,883 and 285,144 is: 430,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,883 : 285,144 = 285,144 : x
  2. Step 2: Convert to fraction form
    188,883/285,144 = 285,144/x
  3. Step 3: Cross multiply
    188,883x = 285,144 × 285,144
  4. Step 4: Simplify right side
    188,883x = 81,307,100,736
  5. Step 5: Solve for x
    x = 81,307,100,736/188,883
  6. Step 6: Final answer
    x = 430,462.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.