Home / 1,413-1,567

Finding the Third Proportional to 1,413 and 1,567

Calculator

Solution

The third proportional to 1,413 and 1,567 is: 1,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 1,567 = 1,567 : x
  2. Step 2: Convert to fraction form
    1,413/1,567 = 1,567/x
  3. Step 3: Cross multiply
    1,413x = 1,567 × 1,567
  4. Step 4: Simplify right side
    1,413x = 2,455,489
  5. Step 5: Solve for x
    x = 2,455,489/1,413
  6. Step 6: Final answer
    x = 1,737.78

Related Problems

Find third proportional to 706.50 and 783.50
Half scale
Find third proportional to 2,826 and 3,134
Double scale
Find third proportional to 1,415 and 1,569
Similar ratio
Find third proportional to 2,119.50 and 2,350.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.