Home / 259.50-600

Finding the Third Proportional to 259.50 and 600

Calculator

Solution

The third proportional to 259.50 and 600 is: 1,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 600 = 600 : x
  2. Step 2: Convert to fraction form
    259.50/600 = 600/x
  3. Step 3: Cross multiply
    259.50x = 600 × 600
  4. Step 4: Simplify right side
    259.50x = 360,000
  5. Step 5: Solve for x
    x = 360,000/259.50
  6. Step 6: Final answer
    x = 1,387.28

Related Problems

Find third proportional to 129.75 and 300
Half scale
Find third proportional to 519 and 1,200
Double scale
Find third proportional to 262 and 605
Similar ratio
Find third proportional to 389.25 and 900
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.