Home / 1,077-1,650

Finding the Third Proportional to 1,077 and 1,650

Calculator

Solution

The third proportional to 1,077 and 1,650 is: 2,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077 : 1,650 = 1,650 : x
  2. Step 2: Convert to fraction form
    1,077/1,650 = 1,650/x
  3. Step 3: Cross multiply
    1,077x = 1,650 × 1,650
  4. Step 4: Simplify right side
    1,077x = 2,722,500
  5. Step 5: Solve for x
    x = 2,722,500/1,077
  6. Step 6: Final answer
    x = 2,527.86

Related Problems

Find third proportional to 538.50 and 825
Half scale
Find third proportional to 2,154 and 3,300
Double scale
Find third proportional to 1,079 and 1,653
Similar ratio
Find third proportional to 1,615.50 and 2,475
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.