Home / 252-670

Finding the Third Proportional to 252 and 670

Calculator

Solution

The third proportional to 252 and 670 is: 1,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 670 = 670 : x
  2. Step 2: Convert to fraction form
    252/670 = 670/x
  3. Step 3: Cross multiply
    252x = 670 × 670
  4. Step 4: Simplify right side
    252x = 448,900
  5. Step 5: Solve for x
    x = 448,900/252
  6. Step 6: Final answer
    x = 1,781.35

Related Problems

Find third proportional to 126 and 335
Half scale
Find third proportional to 504 and 1,340
Double scale
Find third proportional to 254 and 675
Similar ratio
Find third proportional to 378 and 1,005
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.