Home / 172.13-282.09

Finding the Third Proportional to 172.13 and 282.09

Calculator

Solution

The third proportional to 172.13 and 282.09 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 282.09 = 282.09 : x
  2. Step 2: Convert to fraction form
    172.13/282.09 = 282.09/x
  3. Step 3: Cross multiply
    172.13x = 282.09 × 282.09
  4. Step 4: Simplify right side
    172.13x = 79,576.88
  5. Step 5: Solve for x
    x = 79,576.88/172.13
  6. Step 6: Final answer
    x = 462.32

Related Problems

Find third proportional to 86.06 and 141.05
Half scale
Find third proportional to 344.25 and 564.19
Double scale
Find third proportional to 174 and 285
Similar ratio
Find third proportional to 258.19 and 423.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.