Home / 130-286

Finding the Third Proportional to 130 and 286

Calculator

Solution

The third proportional to 130 and 286 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 286 = 286 : x
  2. Step 2: Convert to fraction form
    130/286 = 286/x
  3. Step 3: Cross multiply
    130x = 286 × 286
  4. Step 4: Simplify right side
    130x = 81,796
  5. Step 5: Solve for x
    x = 81,796/130
  6. Step 6: Final answer
    x = 629.20

Related Problems

Find third proportional to 65 and 143
Half scale
Find third proportional to 260 and 572
Double scale
Find third proportional to 132 and 290
Similar ratio
Find third proportional to 195 and 429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.