Home / 297.84-680.91

Finding the Third Proportional to 297.84 and 680.91

Calculator

Solution

The third proportional to 297.84 and 680.91 is: 1,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 680.91 = 680.91 : x
  2. Step 2: Convert to fraction form
    297.84/680.91 = 680.91/x
  3. Step 3: Cross multiply
    297.84x = 680.91 × 680.91
  4. Step 4: Simplify right side
    297.84x = 463,633.32
  5. Step 5: Solve for x
    x = 463,633.32/297.84
  6. Step 6: Final answer
    x = 1,556.63

Related Problems

Find third proportional to 148.92 and 340.45
Half scale
Find third proportional to 595.69 and 1,361.81
Double scale
Find third proportional to 300 and 685
Similar ratio
Find third proportional to 446.77 and 1,021.36
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.