Home / 112-289

Finding the Third Proportional to 112 and 289

Calculator

Solution

The third proportional to 112 and 289 is: 745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 289 = 289 : x
  2. Step 2: Convert to fraction form
    112/289 = 289/x
  3. Step 3: Cross multiply
    112x = 289 × 289
  4. Step 4: Simplify right side
    112x = 83,521
  5. Step 5: Solve for x
    x = 83,521/112
  6. Step 6: Final answer
    x = 745.72

Related Problems

Find third proportional to 56 and 144.50
Half scale
Find third proportional to 224 and 578
Double scale
Find third proportional to 114 and 294
Similar ratio
Find third proportional to 168 and 433.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.