Home / 412,418-614,739

Finding the Third Proportional to 412,418 and 614,739

Calculator

Solution

The third proportional to 412,418 and 614,739 is: 916,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,418 : 614,739 = 614,739 : x
  2. Step 2: Convert to fraction form
    412,418/614,739 = 614,739/x
  3. Step 3: Cross multiply
    412,418x = 614,739 × 614,739
  4. Step 4: Simplify right side
    412,418x = 377,904,038,121
  5. Step 5: Solve for x
    x = 377,904,038,121/412,418
  6. Step 6: Final answer
    x = 916,313.15

Related Problems

Find third proportional to 206,209 and 307,369.50
Half scale
Find third proportional to 824,836 and 1,229,478
Double scale
Find third proportional to 412,420 and 614,742
Similar ratio
Find third proportional to 618,627 and 922,108.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.