Home / 130,814-201,324

Finding the Third Proportional to 130,814 and 201,324

Calculator

Solution

The third proportional to 130,814 and 201,324 is: 309,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814 : 201,324 = 201,324 : x
  2. Step 2: Convert to fraction form
    130,814/201,324 = 201,324/x
  3. Step 3: Cross multiply
    130,814x = 201,324 × 201,324
  4. Step 4: Simplify right side
    130,814x = 40,531,352,976
  5. Step 5: Solve for x
    x = 40,531,352,976/130,814
  6. Step 6: Final answer
    x = 309,839.57

Related Problems

Find third proportional to 65,407 and 100,662
Half scale
Find third proportional to 261,628 and 402,648
Double scale
Find third proportional to 130,816 and 201,327
Similar ratio
Find third proportional to 196,221 and 301,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.