Home / 196.13-405.13

Finding the Third Proportional to 196.13 and 405.13

Calculator

Solution

The third proportional to 196.13 and 405.13 is: 836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 405.13 = 405.13 : x
  2. Step 2: Convert to fraction form
    196.13/405.13 = 405.13/x
  3. Step 3: Cross multiply
    196.13x = 405.13 × 405.13
  4. Step 4: Simplify right side
    196.13x = 164,126.27
  5. Step 5: Solve for x
    x = 164,126.27/196.13
  6. Step 6: Final answer
    x = 836.85

Related Problems

Find third proportional to 98.06 and 202.56
Half scale
Find third proportional to 392.25 and 810.25
Double scale
Find third proportional to 198 and 409
Similar ratio
Find third proportional to 294.19 and 607.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.