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

Find third proportional to 554.50 and 685
Half scale
Find third proportional to 2,218 and 2,740
Double scale
Find third proportional to 1,111 and 1,372
Similar ratio
Find third proportional to 1,663.50 and 2,055
1.5x scale

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.