Home / 107.02-231.13

Finding the Third Proportional to 107.02 and 231.13

Calculator

Solution

The third proportional to 107.02 and 231.13 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 231.13 = 231.13 : x
  2. Step 2: Convert to fraction form
    107.02/231.13 = 231.13/x
  3. Step 3: Cross multiply
    107.02x = 231.13 × 231.13
  4. Step 4: Simplify right side
    107.02x = 53,423.28
  5. Step 5: Solve for x
    x = 53,423.28/107.02
  6. Step 6: Final answer
    x = 499.17

Related Problems

Find third proportional to 53.51 and 115.57
Half scale
Find third proportional to 214.05 and 462.27
Double scale
Find third proportional to 109 and 235
Similar ratio
Find third proportional to 160.54 and 346.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.