Home / 7,782-18,180

Finding the Third Proportional to 7,782 and 18,180

Calculator

Solution

The third proportional to 7,782 and 18,180 is: 42,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 18,180 = 18,180 : x
  2. Step 2: Convert to fraction form
    7,782/18,180 = 18,180/x
  3. Step 3: Cross multiply
    7,782x = 18,180 × 18,180
  4. Step 4: Simplify right side
    7,782x = 330,512,400
  5. Step 5: Solve for x
    x = 330,512,400/7,782
  6. Step 6: Final answer
    x = 42,471.40

Related Problems

Find third proportional to 3,891 and 9,090
Half scale
Find third proportional to 15,564 and 36,360
Double scale
Find third proportional to 7,784 and 18,185
Similar ratio
Find third proportional to 11,673 and 27,270
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.