Home / 39,861-82,314

Finding the Third Proportional to 39,861 and 82,314

Calculator

Solution

The third proportional to 39,861 and 82,314 is: 169,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,861 : 82,314 = 82,314 : x
  2. Step 2: Convert to fraction form
    39,861/82,314 = 82,314/x
  3. Step 3: Cross multiply
    39,861x = 82,314 × 82,314
  4. Step 4: Simplify right side
    39,861x = 6,775,594,596
  5. Step 5: Solve for x
    x = 6,775,594,596/39,861
  6. Step 6: Final answer
    x = 169,980.55

Related Problems

Find third proportional to 19,930.50 and 41,157
Half scale
Find third proportional to 79,722 and 164,628
Double scale
Find third proportional to 39,863 and 82,318
Similar ratio
Find third proportional to 59,791.50 and 123,471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.