Home / 509.81-1,106.06

Finding the Third Proportional to 509.81 and 1,106.06

Calculator

Solution

The third proportional to 509.81 and 1,106.06 is: 2,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 1,106.06 = 1,106.06 : x
  2. Step 2: Convert to fraction form
    509.81/1,106.06 = 1,106.06/x
  3. Step 3: Cross multiply
    509.81x = 1,106.06 × 1,106.06
  4. Step 4: Simplify right side
    509.81x = 1,223,374.25
  5. Step 5: Solve for x
    x = 1,223,374.25/509.81
  6. Step 6: Final answer
    x = 2,399.66

Related Problems

Find third proportional to 254.91 and 553.03
Half scale
Find third proportional to 1,019.63 and 2,212.13
Double scale
Find third proportional to 512 and 1,110
Similar ratio
Find third proportional to 764.72 and 1,659.09
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.