Home / 137,268-212,733

Finding the Third Proportional to 137,268 and 212,733

Calculator

Solution

The third proportional to 137,268 and 212,733 is: 329,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,268 : 212,733 = 212,733 : x
  2. Step 2: Convert to fraction form
    137,268/212,733 = 212,733/x
  3. Step 3: Cross multiply
    137,268x = 212,733 × 212,733
  4. Step 4: Simplify right side
    137,268x = 45,255,329,289
  5. Step 5: Solve for x
    x = 45,255,329,289/137,268
  6. Step 6: Final answer
    x = 329,685.94

Related Problems

Find third proportional to 68,634 and 106,366.50
Half scale
Find third proportional to 274,536 and 425,466
Double scale
Find third proportional to 137,270 and 212,736
Similar ratio
Find third proportional to 205,902 and 319,099.50
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.