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Finding the Third Proportional to 786.25 and 1,189.50

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Solution

The third proportional to 786.25 and 1,189.50 is: 1,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.25 : 1,189.50 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    786.25/1,189.50 = 1,189.50/x
  3. Step 3: Cross multiply
    786.25x = 1,189.50 × 1,189.50
  4. Step 4: Simplify right side
    786.25x = 1,414,910.25
  5. Step 5: Solve for x
    x = 1,414,910.25/786.25
  6. Step 6: Final answer
    x = 1,799.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.