Home / 180.50-412

Finding the Third Proportional to 180.50 and 412

Calculator

Solution

The third proportional to 180.50 and 412 is: 940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    180.50/412 = 412/x
  3. Step 3: Cross multiply
    180.50x = 412 × 412
  4. Step 4: Simplify right side
    180.50x = 169,744
  5. Step 5: Solve for x
    x = 169,744/180.50
  6. Step 6: Final answer
    x = 940.41

Related Problems

Find third proportional to 90.25 and 206
Half scale
Find third proportional to 361 and 824
Double scale
Find third proportional to 183 and 417
Similar ratio
Find third proportional to 270.75 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.