Home / 412,416-614,736

Finding the Third Proportional to 412,416 and 614,736

Calculator

Solution

The third proportional to 412,416 and 614,736 is: 916,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,416 : 614,736 = 614,736 : x
  2. Step 2: Convert to fraction form
    412,416/614,736 = 614,736/x
  3. Step 3: Cross multiply
    412,416x = 614,736 × 614,736
  4. Step 4: Simplify right side
    412,416x = 377,900,349,696
  5. Step 5: Solve for x
    x = 377,900,349,696/412,416
  6. Step 6: Final answer
    x = 916,308.65

Related Problems

Find third proportional to 206,208 and 307,368
Half scale
Find third proportional to 824,832 and 1,229,472
Double scale
Find third proportional to 412,418 and 614,739
Similar ratio
Find third proportional to 618,624 and 922,104
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.