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Finding the Third Proportional to 786.75 and 997.13

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Solution

The third proportional to 786.75 and 997.13 is: 1,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 997.13 = 997.13 : x
  2. Step 2: Convert to fraction form
    786.75/997.13 = 997.13/x
  3. Step 3: Cross multiply
    786.75x = 997.13 × 997.13
  4. Step 4: Simplify right side
    786.75x = 994,258.27
  5. Step 5: Solve for x
    x = 994,258.27/786.75
  6. Step 6: Final answer
    x = 1,263.75

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.