Home / 53,390-83,199

Finding the Third Proportional to 53,390 and 83,199

Calculator

Solution

The third proportional to 53,390 and 83,199 is: 129,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,390 : 83,199 = 83,199 : x
  2. Step 2: Convert to fraction form
    53,390/83,199 = 83,199/x
  3. Step 3: Cross multiply
    53,390x = 83,199 × 83,199
  4. Step 4: Simplify right side
    53,390x = 6,922,073,601
  5. Step 5: Solve for x
    x = 6,922,073,601/53,390
  6. Step 6: Final answer
    x = 129,651.13

Related Problems

Find third proportional to 26,695 and 41,599.50
Half scale
Find third proportional to 106,780 and 166,398
Double scale
Find third proportional to 53,392 and 83,202
Similar ratio
Find third proportional to 80,085 and 124,798.50
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.