Home / 472-521

Finding the Third Proportional to 472 and 521

Calculator

Solution

The third proportional to 472 and 521 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 521 = 521 : x
  2. Step 2: Convert to fraction form
    472/521 = 521/x
  3. Step 3: Cross multiply
    472x = 521 × 521
  4. Step 4: Simplify right side
    472x = 271,441
  5. Step 5: Solve for x
    x = 271,441/472
  6. Step 6: Final answer
    x = 575.09

Related Problems

Find third proportional to 236 and 260.50
Half scale
Find third proportional to 944 and 1,042
Double scale
Find third proportional to 474 and 523
Similar ratio
Find third proportional to 708 and 781.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.