Home / 418,324-646,381

Finding the Third Proportional to 418,324 and 646,381

Calculator

Solution

The third proportional to 418,324 and 646,381 is: 998,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,324 : 646,381 = 646,381 : x
  2. Step 2: Convert to fraction form
    418,324/646,381 = 646,381/x
  3. Step 3: Cross multiply
    418,324x = 646,381 × 646,381
  4. Step 4: Simplify right side
    418,324x = 417,808,397,161
  5. Step 5: Solve for x
    x = 417,808,397,161/418,324
  6. Step 6: Final answer
    x = 998,767.46

Related Problems

Find third proportional to 209,162 and 323,190.50
Half scale
Find third proportional to 836,648 and 1,292,762
Double scale
Find third proportional to 418,326 and 646,384
Similar ratio
Find third proportional to 627,486 and 969,571.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.