Home / 217.69-262.13

Finding the Third Proportional to 217.69 and 262.13

Calculator

Solution

The third proportional to 217.69 and 262.13 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 262.13 = 262.13 : x
  2. Step 2: Convert to fraction form
    217.69/262.13 = 262.13/x
  3. Step 3: Cross multiply
    217.69x = 262.13 × 262.13
  4. Step 4: Simplify right side
    217.69x = 68,709.52
  5. Step 5: Solve for x
    x = 68,709.52/217.69
  6. Step 6: Final answer
    x = 315.63

Related Problems

Find third proportional to 108.84 and 131.06
Half scale
Find third proportional to 435.38 and 524.25
Double scale
Find third proportional to 220 and 265
Similar ratio
Find third proportional to 326.53 and 393.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.