Home / 403.50-415.13

Finding the Third Proportional to 403.50 and 415.13

Calculator

Solution

The third proportional to 403.50 and 415.13 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.50 : 415.13 = 415.13 : x
  2. Step 2: Convert to fraction form
    403.50/415.13 = 415.13/x
  3. Step 3: Cross multiply
    403.50x = 415.13 × 415.13
  4. Step 4: Simplify right side
    403.50x = 172,328.77
  5. Step 5: Solve for x
    x = 172,328.77/403.50
  6. Step 6: Final answer
    x = 427.08

Related Problems

Find third proportional to 201.75 and 207.56
Half scale
Find third proportional to 807 and 830.25
Double scale
Find third proportional to 406 and 417
Similar ratio
Find third proportional to 605.25 and 622.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.