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Finding the Third Proportional to 788.38 and 1,236.83

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Solution

The third proportional to 788.38 and 1,236.83 is: 1,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,236.83 = 1,236.83 : x
  2. Step 2: Convert to fraction form
    788.38/1,236.83 = 1,236.83/x
  3. Step 3: Cross multiply
    788.38x = 1,236.83 × 1,236.83
  4. Step 4: Simplify right side
    788.38x = 1,529,753.47
  5. Step 5: Solve for x
    x = 1,529,753.47/788.38
  6. Step 6: Final answer
    x = 1,940.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.