Home / 8,380-19,780

Finding the Third Proportional to 8,380 and 19,780

Calculator

Solution

The third proportional to 8,380 and 19,780 is: 46,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380 : 19,780 = 19,780 : x
  2. Step 2: Convert to fraction form
    8,380/19,780 = 19,780/x
  3. Step 3: Cross multiply
    8,380x = 19,780 × 19,780
  4. Step 4: Simplify right side
    8,380x = 391,248,400
  5. Step 5: Solve for x
    x = 391,248,400/8,380
  6. Step 6: Final answer
    x = 46,688.35

Related Problems

Find third proportional to 4,190 and 9,890
Half scale
Find third proportional to 16,760 and 39,560
Double scale
Find third proportional to 8,382 and 19,785
Similar ratio
Find third proportional to 12,570 and 29,670
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.