Home / 126-289

Finding the Third Proportional to 126 and 289

Calculator

Solution

The third proportional to 126 and 289 is: 662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 289 = 289 : x
  2. Step 2: Convert to fraction form
    126/289 = 289/x
  3. Step 3: Cross multiply
    126x = 289 × 289
  4. Step 4: Simplify right side
    126x = 83,521
  5. Step 5: Solve for x
    x = 83,521/126
  6. Step 6: Final answer
    x = 662.87

Related Problems

Find third proportional to 63 and 144.50
Half scale
Find third proportional to 252 and 578
Double scale
Find third proportional to 128 and 294
Similar ratio
Find third proportional to 189 and 433.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.