Home / 378.63-829.83

Finding the Third Proportional to 378.63 and 829.83

Calculator

Solution

The third proportional to 378.63 and 829.83 is: 1,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 829.83 = 829.83 : x
  2. Step 2: Convert to fraction form
    378.63/829.83 = 829.83/x
  3. Step 3: Cross multiply
    378.63x = 829.83 × 829.83
  4. Step 4: Simplify right side
    378.63x = 688,614.72
  5. Step 5: Solve for x
    x = 688,614.72/378.63
  6. Step 6: Final answer
    x = 1,818.69

Related Problems

Find third proportional to 189.32 and 414.91
Half scale
Find third proportional to 757.27 and 1,659.66
Double scale
Find third proportional to 381 and 834
Similar ratio
Find third proportional to 567.95 and 1,244.74
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.