Home / 11,700-20,803.50

Finding the Third Proportional to 11,700 and 20,803.50

Calculator

Solution

The third proportional to 11,700 and 20,803.50 is: 36,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 20,803.50 = 20,803.50 : x
  2. Step 2: Convert to fraction form
    11,700/20,803.50 = 20,803.50/x
  3. Step 3: Cross multiply
    11,700x = 20,803.50 × 20,803.50
  4. Step 4: Simplify right side
    11,700x = 432,785,612.25
  5. Step 5: Solve for x
    x = 432,785,612.25/11,700
  6. Step 6: Final answer
    x = 36,990.22

Related Problems

Find third proportional to 5,850 and 10,401.75
Half scale
Find third proportional to 23,400 and 41,607
Double scale
Find third proportional to 11,702 and 20,807
Similar ratio
Find third proportional to 17,550 and 31,205.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.