Home / 1,618-2,429

Finding the Third Proportional to 1,618 and 2,429

Calculator

Solution

The third proportional to 1,618 and 2,429 is: 3,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618 : 2,429 = 2,429 : x
  2. Step 2: Convert to fraction form
    1,618/2,429 = 2,429/x
  3. Step 3: Cross multiply
    1,618x = 2,429 × 2,429
  4. Step 4: Simplify right side
    1,618x = 5,900,041
  5. Step 5: Solve for x
    x = 5,900,041/1,618
  6. Step 6: Final answer
    x = 3,646.50

Related Problems

Find third proportional to 809 and 1,214.50
Half scale
Find third proportional to 3,236 and 4,858
Double scale
Find third proportional to 1,620 and 2,432
Similar ratio
Find third proportional to 2,427 and 3,643.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.