Home / 1,186-1,583

Finding the Third Proportional to 1,186 and 1,583

Calculator

Solution

The third proportional to 1,186 and 1,583 is: 2,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186 : 1,583 = 1,583 : x
  2. Step 2: Convert to fraction form
    1,186/1,583 = 1,583/x
  3. Step 3: Cross multiply
    1,186x = 1,583 × 1,583
  4. Step 4: Simplify right side
    1,186x = 2,505,889
  5. Step 5: Solve for x
    x = 2,505,889/1,186
  6. Step 6: Final answer
    x = 2,112.89

Related Problems

Find third proportional to 593 and 791.50
Half scale
Find third proportional to 2,372 and 3,166
Double scale
Find third proportional to 1,188 and 1,586
Similar ratio
Find third proportional to 1,779 and 2,374.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.