Home / 51,200-106,488

Finding the Third Proportional to 51,200 and 106,488

Calculator

Solution

The third proportional to 51,200 and 106,488 is: 221,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200 : 106,488 = 106,488 : x
  2. Step 2: Convert to fraction form
    51,200/106,488 = 106,488/x
  3. Step 3: Cross multiply
    51,200x = 106,488 × 106,488
  4. Step 4: Simplify right side
    51,200x = 11,339,694,144
  5. Step 5: Solve for x
    x = 11,339,694,144/51,200
  6. Step 6: Final answer
    x = 221,478.40

Related Problems

Find third proportional to 25,600 and 53,244
Half scale
Find third proportional to 102,400 and 212,976
Double scale
Find third proportional to 51,202 and 106,492
Similar ratio
Find third proportional to 76,800 and 159,732
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.