Home / 37,622-81,724

Finding the Third Proportional to 37,622 and 81,724

Calculator

Solution

The third proportional to 37,622 and 81,724 is: 177,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622 : 81,724 = 81,724 : x
  2. Step 2: Convert to fraction form
    37,622/81,724 = 81,724/x
  3. Step 3: Cross multiply
    37,622x = 81,724 × 81,724
  4. Step 4: Simplify right side
    37,622x = 6,678,812,176
  5. Step 5: Solve for x
    x = 6,678,812,176/37,622
  6. Step 6: Final answer
    x = 177,524.11

Related Problems

Find third proportional to 18,811 and 40,862
Half scale
Find third proportional to 75,244 and 163,448
Double scale
Find third proportional to 37,624 and 81,728
Similar ratio
Find third proportional to 56,433 and 122,586
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.