Home / 659-1,580

Finding the Third Proportional to 659 and 1,580

Calculator

Solution

The third proportional to 659 and 1,580 is: 3,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 1,580 = 1,580 : x
  2. Step 2: Convert to fraction form
    659/1,580 = 1,580/x
  3. Step 3: Cross multiply
    659x = 1,580 × 1,580
  4. Step 4: Simplify right side
    659x = 2,496,400
  5. Step 5: Solve for x
    x = 2,496,400/659
  6. Step 6: Final answer
    x = 3,788.16

Related Problems

Find third proportional to 329.50 and 790
Half scale
Find third proportional to 1,318 and 3,160
Double scale
Find third proportional to 661 and 1,585
Similar ratio
Find third proportional to 988.50 and 2,370
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.