Home / 9,370-10,198

Finding the Third Proportional to 9,370 and 10,198

Calculator

Solution

The third proportional to 9,370 and 10,198 is: 11,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370 : 10,198 = 10,198 : x
  2. Step 2: Convert to fraction form
    9,370/10,198 = 10,198/x
  3. Step 3: Cross multiply
    9,370x = 10,198 × 10,198
  4. Step 4: Simplify right side
    9,370x = 103,999,204
  5. Step 5: Solve for x
    x = 103,999,204/9,370
  6. Step 6: Final answer
    x = 11,099.17

Related Problems

Find third proportional to 4,685 and 5,099
Half scale
Find third proportional to 18,740 and 20,396
Double scale
Find third proportional to 9,372 and 10,200
Similar ratio
Find third proportional to 14,055 and 15,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.