Home / 274,164-419,022

Finding the Third Proportional to 274,164 and 419,022

Calculator

Solution

The third proportional to 274,164 and 419,022 is: 640,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,164 : 419,022 = 419,022 : x
  2. Step 2: Convert to fraction form
    274,164/419,022 = 419,022/x
  3. Step 3: Cross multiply
    274,164x = 419,022 × 419,022
  4. Step 4: Simplify right side
    274,164x = 175,579,436,484
  5. Step 5: Solve for x
    x = 175,579,436,484/274,164
  6. Step 6: Final answer
    x = 640,417.55

Related Problems

Find third proportional to 137,082 and 209,511
Half scale
Find third proportional to 548,328 and 838,044
Double scale
Find third proportional to 274,166 and 419,025
Similar ratio
Find third proportional to 411,246 and 628,533
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.