Home / 7,120-10,646

Finding the Third Proportional to 7,120 and 10,646

Calculator

Solution

The third proportional to 7,120 and 10,646 is: 15,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 10,646 = 10,646 : x
  2. Step 2: Convert to fraction form
    7,120/10,646 = 10,646/x
  3. Step 3: Cross multiply
    7,120x = 10,646 × 10,646
  4. Step 4: Simplify right side
    7,120x = 113,337,316
  5. Step 5: Solve for x
    x = 113,337,316/7,120
  6. Step 6: Final answer
    x = 15,918.16

Related Problems

Find third proportional to 3,560 and 5,323
Half scale
Find third proportional to 14,240 and 21,292
Double scale
Find third proportional to 7,122 and 10,649
Similar ratio
Find third proportional to 10,680 and 15,969
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.