Home / 316.13-462.38

Finding the Third Proportional to 316.13 and 462.38

Calculator

Solution

The third proportional to 316.13 and 462.38 is: 676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 462.38 = 462.38 : x
  2. Step 2: Convert to fraction form
    316.13/462.38 = 462.38/x
  3. Step 3: Cross multiply
    316.13x = 462.38 × 462.38
  4. Step 4: Simplify right side
    316.13x = 213,790.64
  5. Step 5: Solve for x
    x = 213,790.64/316.13
  6. Step 6: Final answer
    x = 676.29

Related Problems

Find third proportional to 158.06 and 231.19
Half scale
Find third proportional to 632.25 and 924.75
Double scale
Find third proportional to 318 and 465
Similar ratio
Find third proportional to 474.19 and 693.56
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.