Home / 466-1,209

Finding the Third Proportional to 466 and 1,209

Calculator

Solution

The third proportional to 466 and 1,209 is: 3,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 1,209 = 1,209 : x
  2. Step 2: Convert to fraction form
    466/1,209 = 1,209/x
  3. Step 3: Cross multiply
    466x = 1,209 × 1,209
  4. Step 4: Simplify right side
    466x = 1,461,681
  5. Step 5: Solve for x
    x = 1,461,681/466
  6. Step 6: Final answer
    x = 3,136.65

Related Problems

Find third proportional to 233 and 604.50
Half scale
Find third proportional to 932 and 2,418
Double scale
Find third proportional to 468 and 1,214
Similar ratio
Find third proportional to 699 and 1,813.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.