Home / 1,999-4,705

Finding the Third Proportional to 1,999 and 4,705

Calculator

Solution

The third proportional to 1,999 and 4,705 is: 11,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999 : 4,705 = 4,705 : x
  2. Step 2: Convert to fraction form
    1,999/4,705 = 4,705/x
  3. Step 3: Cross multiply
    1,999x = 4,705 × 4,705
  4. Step 4: Simplify right side
    1,999x = 22,137,025
  5. Step 5: Solve for x
    x = 22,137,025/1,999
  6. Step 6: Final answer
    x = 11,074.05

Related Problems

Find third proportional to 999.50 and 2,352.50
Half scale
Find third proportional to 3,998 and 9,410
Double scale
Find third proportional to 2,001 and 4,710
Similar ratio
Find third proportional to 2,998.50 and 7,057.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.