Home / 609.75-1,309.75

Finding the Third Proportional to 609.75 and 1,309.75

Calculator

Solution

The third proportional to 609.75 and 1,309.75 is: 2,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 1,309.75 = 1,309.75 : x
  2. Step 2: Convert to fraction form
    609.75/1,309.75 = 1,309.75/x
  3. Step 3: Cross multiply
    609.75x = 1,309.75 × 1,309.75
  4. Step 4: Simplify right side
    609.75x = 1,715,445.06
  5. Step 5: Solve for x
    x = 1,715,445.06/609.75
  6. Step 6: Final answer
    x = 2,813.36

Related Problems

Find third proportional to 304.88 and 654.88
Half scale
Find third proportional to 1,219.50 and 2,619.50
Double scale
Find third proportional to 612 and 1,314
Similar ratio
Find third proportional to 914.63 and 1,964.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.