Home / 208.13-293.06

Finding the Third Proportional to 208.13 and 293.06

Calculator

Solution

The third proportional to 208.13 and 293.06 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 293.06 = 293.06 : x
  2. Step 2: Convert to fraction form
    208.13/293.06 = 293.06/x
  3. Step 3: Cross multiply
    208.13x = 293.06 × 293.06
  4. Step 4: Simplify right side
    208.13x = 85,885.63
  5. Step 5: Solve for x
    x = 85,885.63/208.13
  6. Step 6: Final answer
    x = 412.66

Related Problems

Find third proportional to 104.06 and 146.53
Half scale
Find third proportional to 416.25 and 586.13
Double scale
Find third proportional to 210 and 296
Similar ratio
Find third proportional to 312.19 and 439.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.