Home / 407,227-825,398

Finding the Third Proportional to 407,227 and 825,398

Calculator

Solution

The third proportional to 407,227 and 825,398 is: 1,672,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227 : 825,398 = 825,398 : x
  2. Step 2: Convert to fraction form
    407,227/825,398 = 825,398/x
  3. Step 3: Cross multiply
    407,227x = 825,398 × 825,398
  4. Step 4: Simplify right side
    407,227x = 681,281,858,404
  5. Step 5: Solve for x
    x = 681,281,858,404/407,227
  6. Step 6: Final answer
    x = 1,672,978.11

Related Problems

Find third proportional to 203,613.50 and 412,699
Half scale
Find third proportional to 814,454 and 1,650,796
Double scale
Find third proportional to 407,229 and 825,402
Similar ratio
Find third proportional to 610,840.50 and 1,238,097
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.