Home / 1,098-2,369

Finding the Third Proportional to 1,098 and 2,369

Calculator

Solution

The third proportional to 1,098 and 2,369 is: 5,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 2,369 = 2,369 : x
  2. Step 2: Convert to fraction form
    1,098/2,369 = 2,369/x
  3. Step 3: Cross multiply
    1,098x = 2,369 × 2,369
  4. Step 4: Simplify right side
    1,098x = 5,612,161
  5. Step 5: Solve for x
    x = 5,612,161/1,098
  6. Step 6: Final answer
    x = 5,111.26

Related Problems

Find third proportional to 549 and 1,184.50
Half scale
Find third proportional to 2,196 and 4,738
Double scale
Find third proportional to 1,100 and 2,373
Similar ratio
Find third proportional to 1,647 and 3,553.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.