Home / 1,027-2,047

Finding the Third Proportional to 1,027 and 2,047

Calculator

Solution

The third proportional to 1,027 and 2,047 is: 4,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027 : 2,047 = 2,047 : x
  2. Step 2: Convert to fraction form
    1,027/2,047 = 2,047/x
  3. Step 3: Cross multiply
    1,027x = 2,047 × 2,047
  4. Step 4: Simplify right side
    1,027x = 4,190,209
  5. Step 5: Solve for x
    x = 4,190,209/1,027
  6. Step 6: Final answer
    x = 4,080.05

Related Problems

Find third proportional to 513.50 and 1,023.50
Half scale
Find third proportional to 2,054 and 4,094
Double scale
Find third proportional to 1,029 and 2,051
Similar ratio
Find third proportional to 1,540.50 and 3,070.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.