Home / 191.69-286.81

Finding the Third Proportional to 191.69 and 286.81

Calculator

Solution

The third proportional to 191.69 and 286.81 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.69 : 286.81 = 286.81 : x
  2. Step 2: Convert to fraction form
    191.69/286.81 = 286.81/x
  3. Step 3: Cross multiply
    191.69x = 286.81 × 286.81
  4. Step 4: Simplify right side
    191.69x = 82,261.41
  5. Step 5: Solve for x
    x = 82,261.41/191.69
  6. Step 6: Final answer
    x = 429.14

Related Problems

Find third proportional to 95.84 and 143.41
Half scale
Find third proportional to 383.38 and 573.63
Double scale
Find third proportional to 194 and 290
Similar ratio
Find third proportional to 287.53 and 430.22
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.