Home / 133,234-286,231

Finding the Third Proportional to 133,234 and 286,231

Calculator

Solution

The third proportional to 133,234 and 286,231 is: 614,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,234 : 286,231 = 286,231 : x
  2. Step 2: Convert to fraction form
    133,234/286,231 = 286,231/x
  3. Step 3: Cross multiply
    133,234x = 286,231 × 286,231
  4. Step 4: Simplify right side
    133,234x = 81,928,185,361
  5. Step 5: Solve for x
    x = 81,928,185,361/133,234
  6. Step 6: Final answer
    x = 614,919.51

Related Problems

Find third proportional to 66,617 and 143,115.50
Half scale
Find third proportional to 266,468 and 572,462
Double scale
Find third proportional to 133,236 and 286,235
Similar ratio
Find third proportional to 199,851 and 429,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.