Home / 1,010-2,080

Finding the Third Proportional to 1,010 and 2,080

Calculator

Solution

The third proportional to 1,010 and 2,080 is: 4,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010 : 2,080 = 2,080 : x
  2. Step 2: Convert to fraction form
    1,010/2,080 = 2,080/x
  3. Step 3: Cross multiply
    1,010x = 2,080 × 2,080
  4. Step 4: Simplify right side
    1,010x = 4,326,400
  5. Step 5: Solve for x
    x = 4,326,400/1,010
  6. Step 6: Final answer
    x = 4,283.56

Related Problems

Find third proportional to 505 and 1,040
Half scale
Find third proportional to 2,020 and 4,160
Double scale
Find third proportional to 1,012 and 2,084
Similar ratio
Find third proportional to 1,515 and 3,120
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.