Home / 53,120-82,904

Finding the Third Proportional to 53,120 and 82,904

Calculator

Solution

The third proportional to 53,120 and 82,904 is: 129,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,120 : 82,904 = 82,904 : x
  2. Step 2: Convert to fraction form
    53,120/82,904 = 82,904/x
  3. Step 3: Cross multiply
    53,120x = 82,904 × 82,904
  4. Step 4: Simplify right side
    53,120x = 6,873,073,216
  5. Step 5: Solve for x
    x = 6,873,073,216/53,120
  6. Step 6: Final answer
    x = 129,387.67

Related Problems

Find third proportional to 26,560 and 41,452
Half scale
Find third proportional to 106,240 and 165,808
Double scale
Find third proportional to 53,122 and 82,907
Similar ratio
Find third proportional to 79,680 and 124,356
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.