Home / 163-412

Finding the Third Proportional to 163 and 412

Calculator

Solution

The third proportional to 163 and 412 is: 1,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    163/412 = 412/x
  3. Step 3: Cross multiply
    163x = 412 × 412
  4. Step 4: Simplify right side
    163x = 169,744
  5. Step 5: Solve for x
    x = 169,744/163
  6. Step 6: Final answer
    x = 1,041.37

Related Problems

Find third proportional to 81.50 and 206
Half scale
Find third proportional to 326 and 824
Double scale
Find third proportional to 165 and 417
Similar ratio
Find third proportional to 244.50 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.