Home / 587-1,409

Finding the Third Proportional to 587 and 1,409

Calculator

Solution

The third proportional to 587 and 1,409 is: 3,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 1,409 = 1,409 : x
  2. Step 2: Convert to fraction form
    587/1,409 = 1,409/x
  3. Step 3: Cross multiply
    587x = 1,409 × 1,409
  4. Step 4: Simplify right side
    587x = 1,985,281
  5. Step 5: Solve for x
    x = 1,985,281/587
  6. Step 6: Final answer
    x = 3,382.08

Related Problems

Find third proportional to 293.50 and 704.50
Half scale
Find third proportional to 1,174 and 2,818
Double scale
Find third proportional to 589 and 1,414
Similar ratio
Find third proportional to 880.50 and 2,113.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.