Home / 396,009-525,114

Finding the Third Proportional to 396,009 and 525,114

Calculator

Solution

The third proportional to 396,009 and 525,114 is: 696,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,009 : 525,114 = 525,114 : x
  2. Step 2: Convert to fraction form
    396,009/525,114 = 525,114/x
  3. Step 3: Cross multiply
    396,009x = 525,114 × 525,114
  4. Step 4: Simplify right side
    396,009x = 275,744,712,996
  5. Step 5: Solve for x
    x = 275,744,712,996/396,009
  6. Step 6: Final answer
    x = 696,309.21

Related Problems

Find third proportional to 198,004.50 and 262,557
Half scale
Find third proportional to 792,018 and 1,050,228
Double scale
Find third proportional to 396,011 and 525,117
Similar ratio
Find third proportional to 594,013.50 and 787,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.