Home / 1,498-1,948

Finding the Third Proportional to 1,498 and 1,948

Calculator

Solution

The third proportional to 1,498 and 1,948 is: 2,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498 : 1,948 = 1,948 : x
  2. Step 2: Convert to fraction form
    1,498/1,948 = 1,948/x
  3. Step 3: Cross multiply
    1,498x = 1,948 × 1,948
  4. Step 4: Simplify right side
    1,498x = 3,794,704
  5. Step 5: Solve for x
    x = 3,794,704/1,498
  6. Step 6: Final answer
    x = 2,533.18

Related Problems

Find third proportional to 749 and 974
Half scale
Find third proportional to 2,996 and 3,896
Double scale
Find third proportional to 1,500 and 1,951
Similar ratio
Find third proportional to 2,247 and 2,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.