Home / 228.66-410.06

Finding the Third Proportional to 228.66 and 410.06

Calculator

Solution

The third proportional to 228.66 and 410.06 is: 735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.66 : 410.06 = 410.06 : x
  2. Step 2: Convert to fraction form
    228.66/410.06 = 410.06/x
  3. Step 3: Cross multiply
    228.66x = 410.06 × 410.06
  4. Step 4: Simplify right side
    228.66x = 168,151.25
  5. Step 5: Solve for x
    x = 168,151.25/228.66
  6. Step 6: Final answer
    x = 735.39

Related Problems

Find third proportional to 114.33 and 205.03
Half scale
Find third proportional to 457.31 and 820.13
Double scale
Find third proportional to 231 and 414
Similar ratio
Find third proportional to 342.98 and 615.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.