Home / 213.50-286

Finding the Third Proportional to 213.50 and 286

Calculator

Solution

The third proportional to 213.50 and 286 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 286 = 286 : x
  2. Step 2: Convert to fraction form
    213.50/286 = 286/x
  3. Step 3: Cross multiply
    213.50x = 286 × 286
  4. Step 4: Simplify right side
    213.50x = 81,796
  5. Step 5: Solve for x
    x = 81,796/213.50
  6. Step 6: Final answer
    x = 383.12

Related Problems

Find third proportional to 106.75 and 143
Half scale
Find third proportional to 427 and 572
Double scale
Find third proportional to 216 and 289
Similar ratio
Find third proportional to 320.25 and 429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.