Home / 1,109-1,370

Finding the Third Proportional to 1,109 and 1,370

Calculator

Solution

The third proportional to 1,109 and 1,370 is: 1,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109 : 1,370 = 1,370 : x
  2. Step 2: Convert to fraction form
    1,109/1,370 = 1,370/x
  3. Step 3: Cross multiply
    1,109x = 1,370 × 1,370
  4. Step 4: Simplify right side
    1,109x = 1,876,900
  5. Step 5: Solve for x
    x = 1,876,900/1,109
  6. Step 6: Final answer
    x = 1,692.43

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.