Home / 1,009-1,585

Finding the Third Proportional to 1,009 and 1,585

Calculator

Solution

The third proportional to 1,009 and 1,585 is: 2,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,585 = 1,585 : x
  2. Step 2: Convert to fraction form
    1,009/1,585 = 1,585/x
  3. Step 3: Cross multiply
    1,009x = 1,585 × 1,585
  4. Step 4: Simplify right side
    1,009x = 2,512,225
  5. Step 5: Solve for x
    x = 2,512,225/1,009
  6. Step 6: Final answer
    x = 2,489.82

Related Problems

Find third proportional to 504.50 and 792.50
Half scale
Find third proportional to 2,018 and 3,170
Double scale
Find third proportional to 1,011 and 1,588
Similar ratio
Find third proportional to 1,513.50 and 2,377.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.