Home / 163.13-289.13

Finding the Third Proportional to 163.13 and 289.13

Calculator

Solution

The third proportional to 163.13 and 289.13 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 289.13 = 289.13 : x
  2. Step 2: Convert to fraction form
    163.13/289.13 = 289.13/x
  3. Step 3: Cross multiply
    163.13x = 289.13 × 289.13
  4. Step 4: Simplify right side
    163.13x = 83,593.27
  5. Step 5: Solve for x
    x = 83,593.27/163.13
  6. Step 6: Final answer
    x = 512.45

Related Problems

Find third proportional to 81.56 and 144.56
Half scale
Find third proportional to 326.25 and 578.25
Double scale
Find third proportional to 165 and 293
Similar ratio
Find third proportional to 244.69 and 433.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.