Home / 150.75-312.19

Finding the Third Proportional to 150.75 and 312.19

Calculator

Solution

The third proportional to 150.75 and 312.19 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 312.19 = 312.19 : x
  2. Step 2: Convert to fraction form
    150.75/312.19 = 312.19/x
  3. Step 3: Cross multiply
    150.75x = 312.19 × 312.19
  4. Step 4: Simplify right side
    150.75x = 97,461.04
  5. Step 5: Solve for x
    x = 97,461.04/150.75
  6. Step 6: Final answer
    x = 646.51

Related Problems

Find third proportional to 75.38 and 156.09
Half scale
Find third proportional to 301.50 and 624.38
Double scale
Find third proportional to 153 and 316
Similar ratio
Find third proportional to 226.13 and 468.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.