Home / 864-1,780

Finding the Third Proportional to 864 and 1,780

Calculator

Solution

The third proportional to 864 and 1,780 is: 3,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,780 = 1,780 : x
  2. Step 2: Convert to fraction form
    864/1,780 = 1,780/x
  3. Step 3: Cross multiply
    864x = 1,780 × 1,780
  4. Step 4: Simplify right side
    864x = 3,168,400
  5. Step 5: Solve for x
    x = 3,168,400/864
  6. Step 6: Final answer
    x = 3,667.13

Related Problems

Find third proportional to 432 and 890
Half scale
Find third proportional to 1,728 and 3,560
Double scale
Find third proportional to 866 and 1,784
Similar ratio
Find third proportional to 1,296 and 2,670
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.