Home / 491.06-514.13

Finding the Third Proportional to 491.06 and 514.13

Calculator

Solution

The third proportional to 491.06 and 514.13 is: 538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 514.13 = 514.13 : x
  2. Step 2: Convert to fraction form
    491.06/514.13 = 514.13/x
  3. Step 3: Cross multiply
    491.06x = 514.13 × 514.13
  4. Step 4: Simplify right side
    491.06x = 264,324.52
  5. Step 5: Solve for x
    x = 264,324.52/491.06
  6. Step 6: Final answer
    x = 538.27

Related Problems

Find third proportional to 245.53 and 257.06
Half scale
Find third proportional to 982.13 and 1,028.25
Double scale
Find third proportional to 493 and 516
Similar ratio
Find third proportional to 736.59 and 771.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.