Home / 2,029-4,139

Finding the Third Proportional to 2,029 and 4,139

Calculator

Solution

The third proportional to 2,029 and 4,139 is: 8,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 4,139 = 4,139 : x
  2. Step 2: Convert to fraction form
    2,029/4,139 = 4,139/x
  3. Step 3: Cross multiply
    2,029x = 4,139 × 4,139
  4. Step 4: Simplify right side
    2,029x = 17,131,321
  5. Step 5: Solve for x
    x = 17,131,321/2,029
  6. Step 6: Final answer
    x = 8,443.23

Related Problems

Find third proportional to 1,014.50 and 2,069.50
Half scale
Find third proportional to 4,058 and 8,278
Double scale
Find third proportional to 2,031 and 4,143
Similar ratio
Find third proportional to 3,043.50 and 6,208.50
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.