Home / 3,870-5,827

Finding the Third Proportional to 3,870 and 5,827

Calculator

Solution

The third proportional to 3,870 and 5,827 is: 8,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,827 = 5,827 : x
  2. Step 2: Convert to fraction form
    3,870/5,827 = 5,827/x
  3. Step 3: Cross multiply
    3,870x = 5,827 × 5,827
  4. Step 4: Simplify right side
    3,870x = 33,953,929
  5. Step 5: Solve for x
    x = 33,953,929/3,870
  6. Step 6: Final answer
    x = 8,773.63

Related Problems

Find third proportional to 1,935 and 2,913.50
Half scale
Find third proportional to 7,740 and 11,654
Double scale
Find third proportional to 3,872 and 5,830
Similar ratio
Find third proportional to 5,805 and 8,740.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.