Home / 37,414-83,134

Finding the Third Proportional to 37,414 and 83,134

Calculator

Solution

The third proportional to 37,414 and 83,134 is: 184,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414 : 83,134 = 83,134 : x
  2. Step 2: Convert to fraction form
    37,414/83,134 = 83,134/x
  3. Step 3: Cross multiply
    37,414x = 83,134 × 83,134
  4. Step 4: Simplify right side
    37,414x = 6,911,261,956
  5. Step 5: Solve for x
    x = 6,911,261,956/37,414
  6. Step 6: Final answer
    x = 184,723.95

Related Problems

Find third proportional to 18,707 and 41,567
Half scale
Find third proportional to 74,828 and 166,268
Double scale
Find third proportional to 37,416 and 83,138
Similar ratio
Find third proportional to 56,121 and 124,701
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.