Home / 153.14-324.84

Finding the Third Proportional to 153.14 and 324.84

Calculator

Solution

The third proportional to 153.14 and 324.84 is: 689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 324.84 = 324.84 : x
  2. Step 2: Convert to fraction form
    153.14/324.84 = 324.84/x
  3. Step 3: Cross multiply
    153.14x = 324.84 × 324.84
  4. Step 4: Simplify right side
    153.14x = 105,523.46
  5. Step 5: Solve for x
    x = 105,523.46/153.14
  6. Step 6: Final answer
    x = 689.06

Related Problems

Find third proportional to 76.57 and 162.42
Half scale
Find third proportional to 306.28 and 649.69
Double scale
Find third proportional to 155 and 329
Similar ratio
Find third proportional to 229.71 and 487.27
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.