Home / 212,996-323,382

Finding the Third Proportional to 212,996 and 323,382

Calculator

Solution

The third proportional to 212,996 and 323,382 is: 490,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996 : 323,382 = 323,382 : x
  2. Step 2: Convert to fraction form
    212,996/323,382 = 323,382/x
  3. Step 3: Cross multiply
    212,996x = 323,382 × 323,382
  4. Step 4: Simplify right side
    212,996x = 104,575,917,924
  5. Step 5: Solve for x
    x = 104,575,917,924/212,996
  6. Step 6: Final answer
    x = 490,975.97

Related Problems

Find third proportional to 106,498 and 161,691
Half scale
Find third proportional to 425,992 and 646,764
Double scale
Find third proportional to 212,998 and 323,385
Similar ratio
Find third proportional to 319,494 and 485,073
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.