Home / 156.09-312.05

Finding the Third Proportional to 156.09 and 312.05

Calculator

Solution

The third proportional to 156.09 and 312.05 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 312.05 = 312.05 : x
  2. Step 2: Convert to fraction form
    156.09/312.05 = 312.05/x
  3. Step 3: Cross multiply
    156.09x = 312.05 × 312.05
  4. Step 4: Simplify right side
    156.09x = 97,373.25
  5. Step 5: Solve for x
    x = 97,373.25/156.09
  6. Step 6: Final answer
    x = 623.81

Related Problems

Find third proportional to 78.05 and 156.02
Half scale
Find third proportional to 312.19 and 624.09
Double scale
Find third proportional to 158 and 316
Similar ratio
Find third proportional to 234.14 and 468.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.