Home / 378,697-829,820

Finding the Third Proportional to 378,697 and 829,820

Calculator

Solution

The third proportional to 378,697 and 829,820 is: 1,818,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,697 : 829,820 = 829,820 : x
  2. Step 2: Convert to fraction form
    378,697/829,820 = 829,820/x
  3. Step 3: Cross multiply
    378,697x = 829,820 × 829,820
  4. Step 4: Simplify right side
    378,697x = 688,601,232,400
  5. Step 5: Solve for x
    x = 688,601,232,400/378,697
  6. Step 6: Final answer
    x = 1,818,343.51

Related Problems

Find third proportional to 189,348.50 and 414,910
Half scale
Find third proportional to 757,394 and 1,659,640
Double scale
Find third proportional to 378,699 and 829,824
Similar ratio
Find third proportional to 568,045.50 and 1,244,730
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.