Home / 1,009-1,429

Finding the Third Proportional to 1,009 and 1,429

Calculator

Solution

The third proportional to 1,009 and 1,429 is: 2,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,429 = 1,429 : x
  2. Step 2: Convert to fraction form
    1,009/1,429 = 1,429/x
  3. Step 3: Cross multiply
    1,009x = 1,429 × 1,429
  4. Step 4: Simplify right side
    1,009x = 2,042,041
  5. Step 5: Solve for x
    x = 2,042,041/1,009
  6. Step 6: Final answer
    x = 2,023.83

Related Problems

Find third proportional to 504.50 and 714.50
Half scale
Find third proportional to 2,018 and 2,858
Double scale
Find third proportional to 1,011 and 1,432
Similar ratio
Find third proportional to 1,513.50 and 2,143.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.