Home / 6,780-10,316

Finding the Third Proportional to 6,780 and 10,316

Calculator

Solution

The third proportional to 6,780 and 10,316 is: 15,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 10,316 = 10,316 : x
  2. Step 2: Convert to fraction form
    6,780/10,316 = 10,316/x
  3. Step 3: Cross multiply
    6,780x = 10,316 × 10,316
  4. Step 4: Simplify right side
    6,780x = 106,419,856
  5. Step 5: Solve for x
    x = 106,419,856/6,780
  6. Step 6: Final answer
    x = 15,696.14

Related Problems

Find third proportional to 3,390 and 5,158
Half scale
Find third proportional to 13,560 and 20,632
Double scale
Find third proportional to 6,782 and 10,319
Similar ratio
Find third proportional to 10,170 and 15,474
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.