Home / 156.50-306

Finding the Third Proportional to 156.50 and 306

Calculator

Solution

The third proportional to 156.50 and 306 is: 598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 306 = 306 : x
  2. Step 2: Convert to fraction form
    156.50/306 = 306/x
  3. Step 3: Cross multiply
    156.50x = 306 × 306
  4. Step 4: Simplify right side
    156.50x = 93,636
  5. Step 5: Solve for x
    x = 93,636/156.50
  6. Step 6: Final answer
    x = 598.31

Related Problems

Find third proportional to 78.25 and 153
Half scale
Find third proportional to 313 and 612
Double scale
Find third proportional to 159 and 310
Similar ratio
Find third proportional to 234.75 and 459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.