Home / 37,937-82,024

Finding the Third Proportional to 37,937 and 82,024

Calculator

Solution

The third proportional to 37,937 and 82,024 is: 177,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,937 : 82,024 = 82,024 : x
  2. Step 2: Convert to fraction form
    37,937/82,024 = 82,024/x
  3. Step 3: Cross multiply
    37,937x = 82,024 × 82,024
  4. Step 4: Simplify right side
    37,937x = 6,727,936,576
  5. Step 5: Solve for x
    x = 6,727,936,576/37,937
  6. Step 6: Final answer
    x = 177,344.98

Related Problems

Find third proportional to 18,968.50 and 41,012
Half scale
Find third proportional to 75,874 and 164,048
Double scale
Find third proportional to 37,939 and 82,028
Similar ratio
Find third proportional to 56,905.50 and 123,036
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.