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Finding the Third Proportional to 783.75 and 1,196.44

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Solution

The third proportional to 783.75 and 1,196.44 is: 1,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,196.44 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    783.75/1,196.44 = 1,196.44/x
  3. Step 3: Cross multiply
    783.75x = 1,196.44 × 1,196.44
  4. Step 4: Simplify right side
    783.75x = 1,431,462.69
  5. Step 5: Solve for x
    x = 1,431,462.69/783.75
  6. Step 6: Final answer
    x = 1,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.