Home / 213,797-464,026

Finding the Third Proportional to 213,797 and 464,026

Calculator

Solution

The third proportional to 213,797 and 464,026 is: 1,007,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,797 : 464,026 = 464,026 : x
  2. Step 2: Convert to fraction form
    213,797/464,026 = 464,026/x
  3. Step 3: Cross multiply
    213,797x = 464,026 × 464,026
  4. Step 4: Simplify right side
    213,797x = 215,320,128,676
  5. Step 5: Solve for x
    x = 215,320,128,676/213,797
  6. Step 6: Final answer
    x = 1,007,124.18

Related Problems

Find third proportional to 106,898.50 and 232,013
Half scale
Find third proportional to 427,594 and 928,052
Double scale
Find third proportional to 213,799 and 464,030
Similar ratio
Find third proportional to 320,695.50 and 696,039
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.