Home / 1,251-1,683

Finding the Third Proportional to 1,251 and 1,683

Calculator

Solution

The third proportional to 1,251 and 1,683 is: 2,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251 : 1,683 = 1,683 : x
  2. Step 2: Convert to fraction form
    1,251/1,683 = 1,683/x
  3. Step 3: Cross multiply
    1,251x = 1,683 × 1,683
  4. Step 4: Simplify right side
    1,251x = 2,832,489
  5. Step 5: Solve for x
    x = 2,832,489/1,251
  6. Step 6: Final answer
    x = 2,264.18

Related Problems

Find third proportional to 625.50 and 841.50
Half scale
Find third proportional to 2,502 and 3,366
Double scale
Find third proportional to 1,253 and 1,686
Similar ratio
Find third proportional to 1,876.50 and 2,524.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.