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Finding the Third Proportional to 377.50 and 891.75

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Solution

The third proportional to 377.50 and 891.75 is: 2,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.50 : 891.75 = 891.75 : x
  2. Step 2: Convert to fraction form
    377.50/891.75 = 891.75/x
  3. Step 3: Cross multiply
    377.50x = 891.75 × 891.75
  4. Step 4: Simplify right side
    377.50x = 795,218.06
  5. Step 5: Solve for x
    x = 795,218.06/377.50
  6. Step 6: Final answer
    x = 2,106.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.