Home / 83,709-117,081

Finding the Third Proportional to 83,709 and 117,081

Calculator

Solution

The third proportional to 83,709 and 117,081 is: 163,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709 : 117,081 = 117,081 : x
  2. Step 2: Convert to fraction form
    83,709/117,081 = 117,081/x
  3. Step 3: Cross multiply
    83,709x = 117,081 × 117,081
  4. Step 4: Simplify right side
    83,709x = 13,707,960,561
  5. Step 5: Solve for x
    x = 13,707,960,561/83,709
  6. Step 6: Final answer
    x = 163,757.31

Related Problems

Find third proportional to 41,854.50 and 58,540.50
Half scale
Find third proportional to 167,418 and 234,162
Double scale
Find third proportional to 83,711 and 117,084
Similar ratio
Find third proportional to 125,563.50 and 175,621.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.