Home / 195.19-412.13

Finding the Third Proportional to 195.19 and 412.13

Calculator

Solution

The third proportional to 195.19 and 412.13 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 412.13 = 412.13 : x
  2. Step 2: Convert to fraction form
    195.19/412.13 = 412.13/x
  3. Step 3: Cross multiply
    195.19x = 412.13 × 412.13
  4. Step 4: Simplify right side
    195.19x = 169,847.02
  5. Step 5: Solve for x
    x = 169,847.02/195.19
  6. Step 6: Final answer
    x = 870.17

Related Problems

Find third proportional to 97.59 and 206.06
Half scale
Find third proportional to 390.38 and 824.25
Double scale
Find third proportional to 197 and 416
Similar ratio
Find third proportional to 292.78 and 618.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.