Home / 314.67-462.74

Finding the Third Proportional to 314.67 and 462.74

Calculator

Solution

The third proportional to 314.67 and 462.74 is: 680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 462.74 = 462.74 : x
  2. Step 2: Convert to fraction form
    314.67/462.74 = 462.74/x
  3. Step 3: Cross multiply
    314.67x = 462.74 × 462.74
  4. Step 4: Simplify right side
    314.67x = 214,132.14
  5. Step 5: Solve for x
    x = 214,132.14/314.67
  6. Step 6: Final answer
    x = 680.51

Related Problems

Find third proportional to 157.33 and 231.37
Half scale
Find third proportional to 629.33 and 925.49
Double scale
Find third proportional to 317 and 466
Similar ratio
Find third proportional to 472.00 and 694.12
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.