Home / 418-473

Finding the Third Proportional to 418 and 473

Calculator

Solution

The third proportional to 418 and 473 is: 535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 473 = 473 : x
  2. Step 2: Convert to fraction form
    418/473 = 473/x
  3. Step 3: Cross multiply
    418x = 473 × 473
  4. Step 4: Simplify right side
    418x = 223,729
  5. Step 5: Solve for x
    x = 223,729/418
  6. Step 6: Final answer
    x = 535.24

Related Problems

Find third proportional to 209 and 236.50
Half scale
Find third proportional to 836 and 946
Double scale
Find third proportional to 420 and 475
Similar ratio
Find third proportional to 627 and 709.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.