Home / 215-314

Finding the Third Proportional to 215 and 314

Calculator

Solution

The third proportional to 215 and 314 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    215/314 = 314/x
  3. Step 3: Cross multiply
    215x = 314 × 314
  4. Step 4: Simplify right side
    215x = 98,596
  5. Step 5: Solve for x
    x = 98,596/215
  6. Step 6: Final answer
    x = 458.59

Related Problems

Find third proportional to 107.50 and 157
Half scale
Find third proportional to 430 and 628
Double scale
Find third proportional to 217 and 317
Similar ratio
Find third proportional to 322.50 and 471
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.