Home / 157,802-221,959

Finding the Third Proportional to 157,802 and 221,959

Calculator

Solution

The third proportional to 157,802 and 221,959 is: 312,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,802 : 221,959 = 221,959 : x
  2. Step 2: Convert to fraction form
    157,802/221,959 = 221,959/x
  3. Step 3: Cross multiply
    157,802x = 221,959 × 221,959
  4. Step 4: Simplify right side
    157,802x = 49,265,797,681
  5. Step 5: Solve for x
    x = 49,265,797,681/157,802
  6. Step 6: Final answer
    x = 312,200.08

Related Problems

Find third proportional to 78,901 and 110,979.50
Half scale
Find third proportional to 315,604 and 443,918
Double scale
Find third proportional to 157,804 and 221,962
Similar ratio
Find third proportional to 236,703 and 332,938.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.