Home / 133,378-205,613

Finding the Third Proportional to 133,378 and 205,613

Calculator

Solution

The third proportional to 133,378 and 205,613 is: 316,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,378 : 205,613 = 205,613 : x
  2. Step 2: Convert to fraction form
    133,378/205,613 = 205,613/x
  3. Step 3: Cross multiply
    133,378x = 205,613 × 205,613
  4. Step 4: Simplify right side
    133,378x = 42,276,705,769
  5. Step 5: Solve for x
    x = 42,276,705,769/133,378
  6. Step 6: Final answer
    x = 316,969.11

Related Problems

Find third proportional to 66,689 and 102,806.50
Half scale
Find third proportional to 266,756 and 411,226
Double scale
Find third proportional to 133,380 and 205,616
Similar ratio
Find third proportional to 200,067 and 308,419.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.