Home / 618-1,209

Finding the Third Proportional to 618 and 1,209

Calculator

Solution

The third proportional to 618 and 1,209 is: 2,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 1,209 = 1,209 : x
  2. Step 2: Convert to fraction form
    618/1,209 = 1,209/x
  3. Step 3: Cross multiply
    618x = 1,209 × 1,209
  4. Step 4: Simplify right side
    618x = 1,461,681
  5. Step 5: Solve for x
    x = 1,461,681/618
  6. Step 6: Final answer
    x = 2,365.18

Related Problems

Find third proportional to 309 and 604.50
Half scale
Find third proportional to 1,236 and 2,418
Double scale
Find third proportional to 620 and 1,213
Similar ratio
Find third proportional to 927 and 1,813.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.