Home / 153.50-218

Finding the Third Proportional to 153.50 and 218

Calculator

Solution

The third proportional to 153.50 and 218 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 218 = 218 : x
  2. Step 2: Convert to fraction form
    153.50/218 = 218/x
  3. Step 3: Cross multiply
    153.50x = 218 × 218
  4. Step 4: Simplify right side
    153.50x = 47,524
  5. Step 5: Solve for x
    x = 47,524/153.50
  6. Step 6: Final answer
    x = 309.60

Related Problems

Find third proportional to 76.75 and 109
Half scale
Find third proportional to 307 and 436
Double scale
Find third proportional to 156 and 221
Similar ratio
Find third proportional to 230.25 and 327
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.