Home / 1,536-1,762

Finding the Third Proportional to 1,536 and 1,762

Calculator

Solution

The third proportional to 1,536 and 1,762 is: 2,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536 : 1,762 = 1,762 : x
  2. Step 2: Convert to fraction form
    1,536/1,762 = 1,762/x
  3. Step 3: Cross multiply
    1,536x = 1,762 × 1,762
  4. Step 4: Simplify right side
    1,536x = 3,104,644
  5. Step 5: Solve for x
    x = 3,104,644/1,536
  6. Step 6: Final answer
    x = 2,021.25

Related Problems

Find third proportional to 768 and 881
Half scale
Find third proportional to 3,072 and 3,524
Double scale
Find third proportional to 1,538 and 1,764
Similar ratio
Find third proportional to 2,304 and 2,643
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.