Home / 86,639-189,820

Finding the Third Proportional to 86,639 and 189,820

Calculator

Solution

The third proportional to 86,639 and 189,820 is: 415,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,639 : 189,820 = 189,820 : x
  2. Step 2: Convert to fraction form
    86,639/189,820 = 189,820/x
  3. Step 3: Cross multiply
    86,639x = 189,820 × 189,820
  4. Step 4: Simplify right side
    86,639x = 36,031,632,400
  5. Step 5: Solve for x
    x = 36,031,632,400/86,639
  6. Step 6: Final answer
    x = 415,882.37

Related Problems

Find third proportional to 43,319.50 and 94,910
Half scale
Find third proportional to 173,278 and 379,640
Double scale
Find third proportional to 86,641 and 189,824
Similar ratio
Find third proportional to 129,958.50 and 284,730
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.