Home / 358.13-412.13

Finding the Third Proportional to 358.13 and 412.13

Calculator

Solution

The third proportional to 358.13 and 412.13 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 412.13 = 412.13 : x
  2. Step 2: Convert to fraction form
    358.13/412.13 = 412.13/x
  3. Step 3: Cross multiply
    358.13x = 412.13 × 412.13
  4. Step 4: Simplify right side
    358.13x = 169,847.02
  5. Step 5: Solve for x
    x = 169,847.02/358.13
  6. Step 6: Final answer
    x = 474.27

Related Problems

Find third proportional to 179.06 and 206.06
Half scale
Find third proportional to 716.25 and 824.25
Double scale
Find third proportional to 360 and 414
Similar ratio
Find third proportional to 537.19 and 618.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.