Home / 137,972-213,641

Finding the Third Proportional to 137,972 and 213,641

Calculator

Solution

The third proportional to 137,972 and 213,641 is: 330,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,972 : 213,641 = 213,641 : x
  2. Step 2: Convert to fraction form
    137,972/213,641 = 213,641/x
  3. Step 3: Cross multiply
    137,972x = 213,641 × 213,641
  4. Step 4: Simplify right side
    137,972x = 45,642,476,881
  5. Step 5: Solve for x
    x = 45,642,476,881/137,972
  6. Step 6: Final answer
    x = 330,809.71

Related Problems

Find third proportional to 68,986 and 106,820.50
Half scale
Find third proportional to 275,944 and 427,282
Double scale
Find third proportional to 137,974 and 213,644
Similar ratio
Find third proportional to 206,958 and 320,461.50
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.