Home / 829.69-1,465.88

Finding the Third Proportional to 829.69 and 1,465.88

Calculator

Solution

The third proportional to 829.69 and 1,465.88 is: 2,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,465.88 = 1,465.88 : x
  2. Step 2: Convert to fraction form
    829.69/1,465.88 = 1,465.88/x
  3. Step 3: Cross multiply
    829.69x = 1,465.88 × 1,465.88
  4. Step 4: Simplify right side
    829.69x = 2,148,789.52
  5. Step 5: Solve for x
    x = 2,148,789.52/829.69
  6. Step 6: Final answer
    x = 2,589.88

Related Problems

Find third proportional to 414.84 and 732.94
Half scale
Find third proportional to 1,659.38 and 2,931.75
Double scale
Find third proportional to 832 and 1,469
Similar ratio
Find third proportional to 1,244.53 and 2,198.81
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.