Home / 150,326-313,091

Finding the Third Proportional to 150,326 and 313,091

Calculator

Solution

The third proportional to 150,326 and 313,091 is: 652,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,326 : 313,091 = 313,091 : x
  2. Step 2: Convert to fraction form
    150,326/313,091 = 313,091/x
  3. Step 3: Cross multiply
    150,326x = 313,091 × 313,091
  4. Step 4: Simplify right side
    150,326x = 98,025,974,281
  5. Step 5: Solve for x
    x = 98,025,974,281/150,326
  6. Step 6: Final answer
    x = 652,089.29

Related Problems

Find third proportional to 75,163 and 156,545.50
Half scale
Find third proportional to 300,652 and 626,182
Double scale
Find third proportional to 150,328 and 313,095
Similar ratio
Find third proportional to 225,489 and 469,636.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.