Home / 1,533-2,142

Finding the Third Proportional to 1,533 and 2,142

Calculator

Solution

The third proportional to 1,533 and 2,142 is: 2,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,142 = 2,142 : x
  2. Step 2: Convert to fraction form
    1,533/2,142 = 2,142/x
  3. Step 3: Cross multiply
    1,533x = 2,142 × 2,142
  4. Step 4: Simplify right side
    1,533x = 4,588,164
  5. Step 5: Solve for x
    x = 4,588,164/1,533
  6. Step 6: Final answer
    x = 2,992.93

Related Problems

Find third proportional to 766.50 and 1,071
Half scale
Find third proportional to 3,066 and 4,284
Double scale
Find third proportional to 1,535 and 2,145
Similar ratio
Find third proportional to 2,299.50 and 3,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.