Home / 197.02-314.76

Finding the Third Proportional to 197.02 and 314.76

Calculator

Solution

The third proportional to 197.02 and 314.76 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 314.76 = 314.76 : x
  2. Step 2: Convert to fraction form
    197.02/314.76 = 314.76/x
  3. Step 3: Cross multiply
    197.02x = 314.76 × 314.76
  4. Step 4: Simplify right side
    197.02x = 99,070.71
  5. Step 5: Solve for x
    x = 99,070.71/197.02
  6. Step 6: Final answer
    x = 502.84

Related Problems

Find third proportional to 98.51 and 157.38
Half scale
Find third proportional to 394.04 and 629.51
Double scale
Find third proportional to 199 and 318
Similar ratio
Find third proportional to 295.53 and 472.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.