Home / 381,530-829,399

Finding the Third Proportional to 381,530 and 829,399

Calculator

Solution

The third proportional to 381,530 and 829,399 is: 1,803,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,530 : 829,399 = 829,399 : x
  2. Step 2: Convert to fraction form
    381,530/829,399 = 829,399/x
  3. Step 3: Cross multiply
    381,530x = 829,399 × 829,399
  4. Step 4: Simplify right side
    381,530x = 687,902,701,201
  5. Step 5: Solve for x
    x = 687,902,701,201/381,530
  6. Step 6: Final answer
    x = 1,803,010.78

Related Problems

Find third proportional to 190,765 and 414,699.50
Half scale
Find third proportional to 763,060 and 1,658,798
Double scale
Find third proportional to 381,532 and 829,403
Similar ratio
Find third proportional to 572,295 and 1,244,098.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.