Home / 565-1,224

Finding the Third Proportional to 565 and 1,224

Calculator

Solution

The third proportional to 565 and 1,224 is: 2,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 1,224 = 1,224 : x
  2. Step 2: Convert to fraction form
    565/1,224 = 1,224/x
  3. Step 3: Cross multiply
    565x = 1,224 × 1,224
  4. Step 4: Simplify right side
    565x = 1,498,176
  5. Step 5: Solve for x
    x = 1,498,176/565
  6. Step 6: Final answer
    x = 2,651.64

Related Problems

Find third proportional to 282.50 and 612
Half scale
Find third proportional to 1,130 and 2,448
Double scale
Find third proportional to 567 and 1,228
Similar ratio
Find third proportional to 847.50 and 1,836
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.