Home / 283,200-599,206

Finding the Third Proportional to 283,200 and 599,206

Calculator

Solution

The third proportional to 283,200 and 599,206 is: 1,267,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,200 : 599,206 = 599,206 : x
  2. Step 2: Convert to fraction form
    283,200/599,206 = 599,206/x
  3. Step 3: Cross multiply
    283,200x = 599,206 × 599,206
  4. Step 4: Simplify right side
    283,200x = 359,047,830,436
  5. Step 5: Solve for x
    x = 359,047,830,436/283,200
  6. Step 6: Final answer
    x = 1,267,824.26

Related Problems

Find third proportional to 141,600 and 299,603
Half scale
Find third proportional to 566,400 and 1,198,412
Double scale
Find third proportional to 283,202 and 599,210
Similar ratio
Find third proportional to 424,800 and 898,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.