Home / 220-313

Finding the Third Proportional to 220 and 313

Calculator

Solution

The third proportional to 220 and 313 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 313 = 313 : x
  2. Step 2: Convert to fraction form
    220/313 = 313/x
  3. Step 3: Cross multiply
    220x = 313 × 313
  4. Step 4: Simplify right side
    220x = 97,969
  5. Step 5: Solve for x
    x = 97,969/220
  6. Step 6: Final answer
    x = 445.31

Related Problems

Find third proportional to 110 and 156.50
Half scale
Find third proportional to 440 and 626
Double scale
Find third proportional to 222 and 316
Similar ratio
Find third proportional to 330 and 469.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.