Home / 53,400-83,124

Finding the Third Proportional to 53,400 and 83,124

Calculator

Solution

The third proportional to 53,400 and 83,124 is: 129,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400 : 83,124 = 83,124 : x
  2. Step 2: Convert to fraction form
    53,400/83,124 = 83,124/x
  3. Step 3: Cross multiply
    53,400x = 83,124 × 83,124
  4. Step 4: Simplify right side
    53,400x = 6,909,599,376
  5. Step 5: Solve for x
    x = 6,909,599,376/53,400
  6. Step 6: Final answer
    x = 129,393.25

Related Problems

Find third proportional to 26,700 and 41,562
Half scale
Find third proportional to 106,800 and 166,248
Double scale
Find third proportional to 53,402 and 83,127
Similar ratio
Find third proportional to 80,100 and 124,686
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.