Home / 136,531-213,707

Finding the Third Proportional to 136,531 and 213,707

Calculator

Solution

The third proportional to 136,531 and 213,707 is: 334,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,531 : 213,707 = 213,707 : x
  2. Step 2: Convert to fraction form
    136,531/213,707 = 213,707/x
  3. Step 3: Cross multiply
    136,531x = 213,707 × 213,707
  4. Step 4: Simplify right side
    136,531x = 45,670,681,849
  5. Step 5: Solve for x
    x = 45,670,681,849/136,531
  6. Step 6: Final answer
    x = 334,507.78

Related Problems

Find third proportional to 68,265.50 and 106,853.50
Half scale
Find third proportional to 273,062 and 427,414
Double scale
Find third proportional to 136,533 and 213,710
Similar ratio
Find third proportional to 204,796.50 and 320,560.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.