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Finding the Third Proportional to 786.75 and 1,172.63

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Solution

The third proportional to 786.75 and 1,172.63 is: 1,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,172.63 = 1,172.63 : x
  2. Step 2: Convert to fraction form
    786.75/1,172.63 = 1,172.63/x
  3. Step 3: Cross multiply
    786.75x = 1,172.63 × 1,172.63
  4. Step 4: Simplify right side
    786.75x = 1,375,049.39
  5. Step 5: Solve for x
    x = 1,375,049.39/786.75
  6. Step 6: Final answer
    x = 1,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.