Home / 453.13-697.69

Finding the Third Proportional to 453.13 and 697.69

Calculator

Solution

The third proportional to 453.13 and 697.69 is: 1,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.13 : 697.69 = 697.69 : x
  2. Step 2: Convert to fraction form
    453.13/697.69 = 697.69/x
  3. Step 3: Cross multiply
    453.13x = 697.69 × 697.69
  4. Step 4: Simplify right side
    453.13x = 486,767.85
  5. Step 5: Solve for x
    x = 486,767.85/453.13
  6. Step 6: Final answer
    x = 1,074.25

Related Problems

Find third proportional to 226.56 and 348.84
Half scale
Find third proportional to 906.25 and 1,395.38
Double scale
Find third proportional to 455 and 701
Similar ratio
Find third proportional to 679.69 and 1,046.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.