Home / 330-471

Finding the Third Proportional to 330 and 471

Calculator

Solution

The third proportional to 330 and 471 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 471 = 471 : x
  2. Step 2: Convert to fraction form
    330/471 = 471/x
  3. Step 3: Cross multiply
    330x = 471 × 471
  4. Step 4: Simplify right side
    330x = 221,841
  5. Step 5: Solve for x
    x = 221,841/330
  6. Step 6: Final answer
    x = 672.25

Related Problems

Find third proportional to 165 and 235.50
Half scale
Find third proportional to 660 and 942
Double scale
Find third proportional to 332 and 474
Similar ratio
Find third proportional to 495 and 706.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.