Home / 661-1,230

Finding the Third Proportional to 661 and 1,230

Calculator

Solution

The third proportional to 661 and 1,230 is: 2,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661 : 1,230 = 1,230 : x
  2. Step 2: Convert to fraction form
    661/1,230 = 1,230/x
  3. Step 3: Cross multiply
    661x = 1,230 × 1,230
  4. Step 4: Simplify right side
    661x = 1,512,900
  5. Step 5: Solve for x
    x = 1,512,900/661
  6. Step 6: Final answer
    x = 2,288.80

Related Problems

Find third proportional to 330.50 and 615
Half scale
Find third proportional to 1,322 and 2,460
Double scale
Find third proportional to 663 and 1,234
Similar ratio
Find third proportional to 991.50 and 1,845
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.