Home / 8,961-10,209

Finding the Third Proportional to 8,961 and 10,209

Calculator

Solution

The third proportional to 8,961 and 10,209 is: 11,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961 : 10,209 = 10,209 : x
  2. Step 2: Convert to fraction form
    8,961/10,209 = 10,209/x
  3. Step 3: Cross multiply
    8,961x = 10,209 × 10,209
  4. Step 4: Simplify right side
    8,961x = 104,223,681
  5. Step 5: Solve for x
    x = 104,223,681/8,961
  6. Step 6: Final answer
    x = 11,630.81

Related Problems

Find third proportional to 4,480.50 and 5,104.50
Half scale
Find third proportional to 17,922 and 20,418
Double scale
Find third proportional to 8,963 and 10,211
Similar ratio
Find third proportional to 13,441.50 and 15,313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.