Home / 106,656-233,400

Finding the Third Proportional to 106,656 and 233,400

Calculator

Solution

The third proportional to 106,656 and 233,400 is: 510,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656 : 233,400 = 233,400 : x
  2. Step 2: Convert to fraction form
    106,656/233,400 = 233,400/x
  3. Step 3: Cross multiply
    106,656x = 233,400 × 233,400
  4. Step 4: Simplify right side
    106,656x = 54,475,560,000
  5. Step 5: Solve for x
    x = 54,475,560,000/106,656
  6. Step 6: Final answer
    x = 510,759.45

Related Problems

Find third proportional to 53,328 and 116,700
Half scale
Find third proportional to 213,312 and 466,800
Double scale
Find third proportional to 106,658 and 233,404
Similar ratio
Find third proportional to 159,984 and 350,100
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.