Home / 313.31-456.19

Finding the Third Proportional to 313.31 and 456.19

Calculator

Solution

The third proportional to 313.31 and 456.19 is: 664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.31 : 456.19 = 456.19 : x
  2. Step 2: Convert to fraction form
    313.31/456.19 = 456.19/x
  3. Step 3: Cross multiply
    313.31x = 456.19 × 456.19
  4. Step 4: Simplify right side
    313.31x = 208,107.04
  5. Step 5: Solve for x
    x = 208,107.04/313.31
  6. Step 6: Final answer
    x = 664.22

Related Problems

Find third proportional to 156.66 and 228.09
Half scale
Find third proportional to 626.63 and 912.38
Double scale
Find third proportional to 315 and 459
Similar ratio
Find third proportional to 469.97 and 684.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.