Home / 1,413-1,827

Finding the Third Proportional to 1,413 and 1,827

Calculator

Solution

The third proportional to 1,413 and 1,827 is: 2,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 1,827 = 1,827 : x
  2. Step 2: Convert to fraction form
    1,413/1,827 = 1,827/x
  3. Step 3: Cross multiply
    1,413x = 1,827 × 1,827
  4. Step 4: Simplify right side
    1,413x = 3,337,929
  5. Step 5: Solve for x
    x = 3,337,929/1,413
  6. Step 6: Final answer
    x = 2,362.30

Related Problems

Find third proportional to 706.50 and 913.50
Half scale
Find third proportional to 2,826 and 3,654
Double scale
Find third proportional to 1,415 and 1,830
Similar ratio
Find third proportional to 2,119.50 and 2,740.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.