Home / 259,740-414,944

Finding the Third Proportional to 259,740 and 414,944

Calculator

Solution

The third proportional to 259,740 and 414,944 is: 662,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740 : 414,944 = 414,944 : x
  2. Step 2: Convert to fraction form
    259,740/414,944 = 414,944/x
  3. Step 3: Cross multiply
    259,740x = 414,944 × 414,944
  4. Step 4: Simplify right side
    259,740x = 172,178,523,136
  5. Step 5: Solve for x
    x = 172,178,523,136/259,740
  6. Step 6: Final answer
    x = 662,887.98

Related Problems

Find third proportional to 129,870 and 207,472
Half scale
Find third proportional to 519,480 and 829,888
Double scale
Find third proportional to 259,742 and 414,947
Similar ratio
Find third proportional to 389,610 and 622,416
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.