Home / 1,042-1,427

Finding the Third Proportional to 1,042 and 1,427

Calculator

Solution

The third proportional to 1,042 and 1,427 is: 1,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042 : 1,427 = 1,427 : x
  2. Step 2: Convert to fraction form
    1,042/1,427 = 1,427/x
  3. Step 3: Cross multiply
    1,042x = 1,427 × 1,427
  4. Step 4: Simplify right side
    1,042x = 2,036,329
  5. Step 5: Solve for x
    x = 2,036,329/1,042
  6. Step 6: Final answer
    x = 1,954.25

Related Problems

Find third proportional to 521 and 713.50
Half scale
Find third proportional to 2,084 and 2,854
Double scale
Find third proportional to 1,044 and 1,430
Similar ratio
Find third proportional to 1,563 and 2,140.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.