Home / 562.50-1,200

Finding the Third Proportional to 562.50 and 1,200

Calculator

Solution

The third proportional to 562.50 and 1,200 is: 2,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.50 : 1,200 = 1,200 : x
  2. Step 2: Convert to fraction form
    562.50/1,200 = 1,200/x
  3. Step 3: Cross multiply
    562.50x = 1,200 × 1,200
  4. Step 4: Simplify right side
    562.50x = 1,440,000
  5. Step 5: Solve for x
    x = 1,440,000/562.50
  6. Step 6: Final answer
    x = 2,560

Related Problems

Find third proportional to 281.25 and 600
Half scale
Find third proportional to 1,125 and 2,400
Double scale
Find third proportional to 565 and 1,204
Similar ratio
Find third proportional to 843.75 and 1,800
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.