Home / 1,585-1,837

Finding the Third Proportional to 1,585 and 1,837

Calculator

Solution

The third proportional to 1,585 and 1,837 is: 2,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585 : 1,837 = 1,837 : x
  2. Step 2: Convert to fraction form
    1,585/1,837 = 1,837/x
  3. Step 3: Cross multiply
    1,585x = 1,837 × 1,837
  4. Step 4: Simplify right side
    1,585x = 3,374,569
  5. Step 5: Solve for x
    x = 3,374,569/1,585
  6. Step 6: Final answer
    x = 2,129.07

Related Problems

Find third proportional to 792.50 and 918.50
Half scale
Find third proportional to 3,170 and 3,674
Double scale
Find third proportional to 1,587 and 1,839
Similar ratio
Find third proportional to 2,377.50 and 2,755.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.