Home / 265-320

Finding the Third Proportional to 265 and 320

Calculator

Solution

The third proportional to 265 and 320 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 320 = 320 : x
  2. Step 2: Convert to fraction form
    265/320 = 320/x
  3. Step 3: Cross multiply
    265x = 320 × 320
  4. Step 4: Simplify right side
    265x = 102,400
  5. Step 5: Solve for x
    x = 102,400/265
  6. Step 6: Final answer
    x = 386.42

Related Problems

Find third proportional to 132.50 and 160
Half scale
Find third proportional to 530 and 640
Double scale
Find third proportional to 267 and 322
Similar ratio
Find third proportional to 397.50 and 480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.