Home / 37,729-81,948

Finding the Third Proportional to 37,729 and 81,948

Calculator

Solution

The third proportional to 37,729 and 81,948 is: 177,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729 : 81,948 = 81,948 : x
  2. Step 2: Convert to fraction form
    37,729/81,948 = 81,948/x
  3. Step 3: Cross multiply
    37,729x = 81,948 × 81,948
  4. Step 4: Simplify right side
    37,729x = 6,715,474,704
  5. Step 5: Solve for x
    x = 6,715,474,704/37,729
  6. Step 6: Final answer
    x = 177,992.39

Related Problems

Find third proportional to 18,864.50 and 40,974
Half scale
Find third proportional to 75,458 and 163,896
Double scale
Find third proportional to 37,731 and 81,952
Similar ratio
Find third proportional to 56,593.50 and 122,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.