Home / 412-473

Finding the Third Proportional to 412 and 473

Calculator

Solution

The third proportional to 412 and 473 is: 543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 473 = 473 : x
  2. Step 2: Convert to fraction form
    412/473 = 473/x
  3. Step 3: Cross multiply
    412x = 473 × 473
  4. Step 4: Simplify right side
    412x = 223,729
  5. Step 5: Solve for x
    x = 223,729/412
  6. Step 6: Final answer
    x = 543.03

Related Problems

Find third proportional to 206 and 236.50
Half scale
Find third proportional to 824 and 946
Double scale
Find third proportional to 414 and 475
Similar ratio
Find third proportional to 618 and 709.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.