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Finding the Third Proportional to 789.50 and 1,238.53

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Solution

The third proportional to 789.50 and 1,238.53 is: 1,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.50 : 1,238.53 = 1,238.53 : x
  2. Step 2: Convert to fraction form
    789.50/1,238.53 = 1,238.53/x
  3. Step 3: Cross multiply
    789.50x = 1,238.53 × 1,238.53
  4. Step 4: Simplify right side
    789.50x = 1,533,959.66
  5. Step 5: Solve for x
    x = 1,533,959.66/789.50
  6. Step 6: Final answer
    x = 1,942.95

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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.