Home / 212,857-329,612

Finding the Third Proportional to 212,857 and 329,612

Calculator

Solution

The third proportional to 212,857 and 329,612 is: 510,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857 : 329,612 = 329,612 : x
  2. Step 2: Convert to fraction form
    212,857/329,612 = 329,612/x
  3. Step 3: Cross multiply
    212,857x = 329,612 × 329,612
  4. Step 4: Simplify right side
    212,857x = 108,644,070,544
  5. Step 5: Solve for x
    x = 108,644,070,544/212,857
  6. Step 6: Final answer
    x = 510,408.73

Related Problems

Find third proportional to 106,428.50 and 164,806
Half scale
Find third proportional to 425,714 and 659,224
Double scale
Find third proportional to 212,859 and 329,615
Similar ratio
Find third proportional to 319,285.50 and 494,418
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.