Home / 378,970-829,220

Finding the Third Proportional to 378,970 and 829,220

Calculator

Solution

The third proportional to 378,970 and 829,220 is: 1,814,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,970 : 829,220 = 829,220 : x
  2. Step 2: Convert to fraction form
    378,970/829,220 = 829,220/x
  3. Step 3: Cross multiply
    378,970x = 829,220 × 829,220
  4. Step 4: Simplify right side
    378,970x = 687,605,808,400
  5. Step 5: Solve for x
    x = 687,605,808,400/378,970
  6. Step 6: Final answer
    x = 1,814,406.97

Related Problems

Find third proportional to 189,485 and 414,610
Half scale
Find third proportional to 757,940 and 1,658,440
Double scale
Find third proportional to 378,972 and 829,224
Similar ratio
Find third proportional to 568,455 and 1,243,830
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.