Home / 1,932-4,506

Finding the Third Proportional to 1,932 and 4,506

Calculator

Solution

The third proportional to 1,932 and 4,506 is: 10,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 4,506 = 4,506 : x
  2. Step 2: Convert to fraction form
    1,932/4,506 = 4,506/x
  3. Step 3: Cross multiply
    1,932x = 4,506 × 4,506
  4. Step 4: Simplify right side
    1,932x = 20,304,036
  5. Step 5: Solve for x
    x = 20,304,036/1,932
  6. Step 6: Final answer
    x = 10,509.34

Related Problems

Find third proportional to 966 and 2,253
Half scale
Find third proportional to 3,864 and 9,012
Double scale
Find third proportional to 1,934 and 4,511
Similar ratio
Find third proportional to 2,898 and 6,759
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.