Home / 211,509-323,964

Finding the Third Proportional to 211,509 and 323,964

Calculator

Solution

The third proportional to 211,509 and 323,964 is: 496,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509 : 323,964 = 323,964 : x
  2. Step 2: Convert to fraction form
    211,509/323,964 = 323,964/x
  3. Step 3: Cross multiply
    211,509x = 323,964 × 323,964
  4. Step 4: Simplify right side
    211,509x = 104,952,673,296
  5. Step 5: Solve for x
    x = 104,952,673,296/211,509
  6. Step 6: Final answer
    x = 496,209.02

Related Problems

Find third proportional to 105,754.50 and 161,982
Half scale
Find third proportional to 423,018 and 647,928
Double scale
Find third proportional to 211,511 and 323,967
Similar ratio
Find third proportional to 317,263.50 and 485,946
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.