Home / 197.37-314.16

Finding the Third Proportional to 197.37 and 314.16

Calculator

Solution

The third proportional to 197.37 and 314.16 is: 500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 314.16 = 314.16 : x
  2. Step 2: Convert to fraction form
    197.37/314.16 = 314.16/x
  3. Step 3: Cross multiply
    197.37x = 314.16 × 314.16
  4. Step 4: Simplify right side
    197.37x = 98,694.15
  5. Step 5: Solve for x
    x = 98,694.15/197.37
  6. Step 6: Final answer
    x = 500.05

Related Problems

Find third proportional to 98.68 and 157.08
Half scale
Find third proportional to 394.73 and 628.31
Double scale
Find third proportional to 199 and 317
Similar ratio
Find third proportional to 296.05 and 471.23
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.