Home / 999-2,038.50

Finding the Third Proportional to 999 and 2,038.50

Calculator

Solution

The third proportional to 999 and 2,038.50 is: 4,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    999 : 2,038.50 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    999/2,038.50 = 2,038.50/x
  3. Step 3: Cross multiply
    999x = 2,038.50 × 2,038.50
  4. Step 4: Simplify right side
    999x = 4,155,482.25
  5. Step 5: Solve for x
    x = 4,155,482.25/999
  6. Step 6: Final answer
    x = 4,159.64

Related Problems

Find third proportional to 499.50 and 1,019.25
Half scale
Find third proportional to 1,998 and 4,077
Double scale
Find third proportional to 1,001 and 2,043
Similar ratio
Find third proportional to 1,498.50 and 3,057.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.