Home / 213,014-323,409

Finding the Third Proportional to 213,014 and 323,409

Calculator

Solution

The third proportional to 213,014 and 323,409 is: 491,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,014 : 323,409 = 323,409 : x
  2. Step 2: Convert to fraction form
    213,014/323,409 = 323,409/x
  3. Step 3: Cross multiply
    213,014x = 323,409 × 323,409
  4. Step 4: Simplify right side
    213,014x = 104,593,381,281
  5. Step 5: Solve for x
    x = 104,593,381,281/213,014
  6. Step 6: Final answer
    x = 491,016.47

Related Problems

Find third proportional to 106,507 and 161,704.50
Half scale
Find third proportional to 426,028 and 646,818
Double scale
Find third proportional to 213,016 and 323,412
Similar ratio
Find third proportional to 319,521 and 485,113.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.