Home / 259,914-413,529

Finding the Third Proportional to 259,914 and 413,529

Calculator

Solution

The third proportional to 259,914 and 413,529 is: 657,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,914 : 413,529 = 413,529 : x
  2. Step 2: Convert to fraction form
    259,914/413,529 = 413,529/x
  3. Step 3: Cross multiply
    259,914x = 413,529 × 413,529
  4. Step 4: Simplify right side
    259,914x = 171,006,233,841
  5. Step 5: Solve for x
    x = 171,006,233,841/259,914
  6. Step 6: Final answer
    x = 657,933.91

Related Problems

Find third proportional to 129,957 and 206,764.50
Half scale
Find third proportional to 519,828 and 827,058
Double scale
Find third proportional to 259,916 and 413,532
Similar ratio
Find third proportional to 389,871 and 620,293.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.