Home / 317,514-431,219

Finding the Third Proportional to 317,514 and 431,219

Calculator

Solution

The third proportional to 317,514 and 431,219 is: 585,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,514 : 431,219 = 431,219 : x
  2. Step 2: Convert to fraction form
    317,514/431,219 = 431,219/x
  3. Step 3: Cross multiply
    317,514x = 431,219 × 431,219
  4. Step 4: Simplify right side
    317,514x = 185,949,825,961
  5. Step 5: Solve for x
    x = 185,949,825,961/317,514
  6. Step 6: Final answer
    x = 585,642.92

Related Problems

Find third proportional to 158,757 and 215,609.50
Half scale
Find third proportional to 635,028 and 862,438
Double scale
Find third proportional to 317,516 and 431,222
Similar ratio
Find third proportional to 476,271 and 646,828.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.