Home / 209.50-286.75

Finding the Third Proportional to 209.50 and 286.75

Calculator

Solution

The third proportional to 209.50 and 286.75 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 286.75 = 286.75 : x
  2. Step 2: Convert to fraction form
    209.50/286.75 = 286.75/x
  3. Step 3: Cross multiply
    209.50x = 286.75 × 286.75
  4. Step 4: Simplify right side
    209.50x = 82,225.56
  5. Step 5: Solve for x
    x = 82,225.56/209.50
  6. Step 6: Final answer
    x = 392.48

Related Problems

Find third proportional to 104.75 and 143.38
Half scale
Find third proportional to 419 and 573.50
Double scale
Find third proportional to 212 and 289
Similar ratio
Find third proportional to 314.25 and 430.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.