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Finding the Third Proportional to 789.75 and 1,225.44

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Solution

The third proportional to 789.75 and 1,225.44 is: 1,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 1,225.44 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    789.75/1,225.44 = 1,225.44/x
  3. Step 3: Cross multiply
    789.75x = 1,225.44 × 1,225.44
  4. Step 4: Simplify right side
    789.75x = 1,501,706.64
  5. Step 5: Solve for x
    x = 1,501,706.64/789.75
  6. Step 6: Final answer
    x = 1,901.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.