Home / 66,784-103,356

Finding the Third Proportional to 66,784 and 103,356

Calculator

Solution

The third proportional to 66,784 and 103,356 is: 159,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784 : 103,356 = 103,356 : x
  2. Step 2: Convert to fraction form
    66,784/103,356 = 103,356/x
  3. Step 3: Cross multiply
    66,784x = 103,356 × 103,356
  4. Step 4: Simplify right side
    66,784x = 10,682,462,736
  5. Step 5: Solve for x
    x = 10,682,462,736/66,784
  6. Step 6: Final answer
    x = 159,955.42

Related Problems

Find third proportional to 33,392 and 51,678
Half scale
Find third proportional to 133,568 and 206,712
Double scale
Find third proportional to 66,786 and 103,359
Similar ratio
Find third proportional to 100,176 and 155,034
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.