Home / 320-471

Finding the Third Proportional to 320 and 471

Calculator

Solution

The third proportional to 320 and 471 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 471 = 471 : x
  2. Step 2: Convert to fraction form
    320/471 = 471/x
  3. Step 3: Cross multiply
    320x = 471 × 471
  4. Step 4: Simplify right side
    320x = 221,841
  5. Step 5: Solve for x
    x = 221,841/320
  6. Step 6: Final answer
    x = 693.25

Related Problems

Find third proportional to 160 and 235.50
Half scale
Find third proportional to 640 and 942
Double scale
Find third proportional to 322 and 474
Similar ratio
Find third proportional to 480 and 706.50
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.