Home / 149,664-320,082

Finding the Third Proportional to 149,664 and 320,082

Calculator

Solution

The third proportional to 149,664 and 320,082 is: 684,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,664 : 320,082 = 320,082 : x
  2. Step 2: Convert to fraction form
    149,664/320,082 = 320,082/x
  3. Step 3: Cross multiply
    149,664x = 320,082 × 320,082
  4. Step 4: Simplify right side
    149,664x = 102,452,486,724
  5. Step 5: Solve for x
    x = 102,452,486,724/149,664
  6. Step 6: Final answer
    x = 684,549.97

Related Problems

Find third proportional to 74,832 and 160,041
Half scale
Find third proportional to 299,328 and 640,164
Double scale
Find third proportional to 149,666 and 320,086
Similar ratio
Find third proportional to 224,496 and 480,123
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.