Home / 448-694

Finding the Third Proportional to 448 and 694

Calculator

Solution

The third proportional to 448 and 694 is: 1,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 694 = 694 : x
  2. Step 2: Convert to fraction form
    448/694 = 694/x
  3. Step 3: Cross multiply
    448x = 694 × 694
  4. Step 4: Simplify right side
    448x = 481,636
  5. Step 5: Solve for x
    x = 481,636/448
  6. Step 6: Final answer
    x = 1,075.08

Related Problems

Find third proportional to 224 and 347
Half scale
Find third proportional to 896 and 1,388
Double scale
Find third proportional to 450 and 697
Similar ratio
Find third proportional to 672 and 1,041
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.