Home / 137,272-213,924

Finding the Third Proportional to 137,272 and 213,924

Calculator

Solution

The third proportional to 137,272 and 213,924 is: 333,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,272 : 213,924 = 213,924 : x
  2. Step 2: Convert to fraction form
    137,272/213,924 = 213,924/x
  3. Step 3: Cross multiply
    137,272x = 213,924 × 213,924
  4. Step 4: Simplify right side
    137,272x = 45,763,477,776
  5. Step 5: Solve for x
    x = 45,763,477,776/137,272
  6. Step 6: Final answer
    x = 333,378.09

Related Problems

Find third proportional to 68,636 and 106,962
Half scale
Find third proportional to 274,544 and 427,848
Double scale
Find third proportional to 137,274 and 213,927
Similar ratio
Find third proportional to 205,908 and 320,886
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.