Home / 1,566-3,780

Finding the Third Proportional to 1,566 and 3,780

Calculator

Solution

The third proportional to 1,566 and 3,780 is: 9,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 3,780 = 3,780 : x
  2. Step 2: Convert to fraction form
    1,566/3,780 = 3,780/x
  3. Step 3: Cross multiply
    1,566x = 3,780 × 3,780
  4. Step 4: Simplify right side
    1,566x = 14,288,400
  5. Step 5: Solve for x
    x = 14,288,400/1,566
  6. Step 6: Final answer
    x = 9,124.14

Related Problems

Find third proportional to 783 and 1,890
Half scale
Find third proportional to 3,132 and 7,560
Double scale
Find third proportional to 1,568 and 3,785
Similar ratio
Find third proportional to 2,349 and 5,670
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.