Home / 135,306-210,321

Finding the Third Proportional to 135,306 and 210,321

Calculator

Solution

The third proportional to 135,306 and 210,321 is: 326,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,306 : 210,321 = 210,321 : x
  2. Step 2: Convert to fraction form
    135,306/210,321 = 210,321/x
  3. Step 3: Cross multiply
    135,306x = 210,321 × 210,321
  4. Step 4: Simplify right side
    135,306x = 44,234,923,041
  5. Step 5: Solve for x
    x = 44,234,923,041/135,306
  6. Step 6: Final answer
    x = 326,925.07

Related Problems

Find third proportional to 67,653 and 105,160.50
Half scale
Find third proportional to 270,612 and 420,642
Double scale
Find third proportional to 135,308 and 210,324
Similar ratio
Find third proportional to 202,959 and 315,481.50
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.