Home / 7,780-11,316

Finding the Third Proportional to 7,780 and 11,316

Calculator

Solution

The third proportional to 7,780 and 11,316 is: 16,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 11,316 = 11,316 : x
  2. Step 2: Convert to fraction form
    7,780/11,316 = 11,316/x
  3. Step 3: Cross multiply
    7,780x = 11,316 × 11,316
  4. Step 4: Simplify right side
    7,780x = 128,051,856
  5. Step 5: Solve for x
    x = 128,051,856/7,780
  6. Step 6: Final answer
    x = 16,459.11

Related Problems

Find third proportional to 3,890 and 5,658
Half scale
Find third proportional to 15,560 and 22,632
Double scale
Find third proportional to 7,782 and 11,319
Similar ratio
Find third proportional to 11,670 and 16,974
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.