Home / 33,416-47,004

Finding the Third Proportional to 33,416 and 47,004

Calculator

Solution

The third proportional to 33,416 and 47,004 is: 66,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416 : 47,004 = 47,004 : x
  2. Step 2: Convert to fraction form
    33,416/47,004 = 47,004/x
  3. Step 3: Cross multiply
    33,416x = 47,004 × 47,004
  4. Step 4: Simplify right side
    33,416x = 2,209,376,016
  5. Step 5: Solve for x
    x = 2,209,376,016/33,416
  6. Step 6: Final answer
    x = 66,117.31

Related Problems

Find third proportional to 16,708 and 23,502
Half scale
Find third proportional to 66,832 and 94,008
Double scale
Find third proportional to 33,418 and 47,007
Similar ratio
Find third proportional to 50,124 and 70,506
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.