Home / 234.56-346.78

Finding the Third Proportional to 234.56 and 346.78

Calculator

Solution

The third proportional to 234.56 and 346.78 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 346.78 = 346.78 : x
  2. Step 2: Convert to fraction form
    234.56/346.78 = 346.78/x
  3. Step 3: Cross multiply
    234.56x = 346.78 × 346.78
  4. Step 4: Simplify right side
    234.56x = 120,257.24
  5. Step 5: Solve for x
    x = 120,257.24/234.56
  6. Step 6: Final answer
    x = 512.69

Related Problems

Find third proportional to 117.28 and 173.39
Half scale
Find third proportional to 469.13 and 693.56
Double scale
Find third proportional to 237 and 350
Similar ratio
Find third proportional to 351.84 and 520.17
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.