Home / 171.50-412

Finding the Third Proportional to 171.50 and 412

Calculator

Solution

The third proportional to 171.50 and 412 is: 989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    171.50/412 = 412/x
  3. Step 3: Cross multiply
    171.50x = 412 × 412
  4. Step 4: Simplify right side
    171.50x = 169,744
  5. Step 5: Solve for x
    x = 169,744/171.50
  6. Step 6: Final answer
    x = 989.76

Related Problems

Find third proportional to 85.75 and 206
Half scale
Find third proportional to 343 and 824
Double scale
Find third proportional to 174 and 417
Similar ratio
Find third proportional to 257.25 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.