Home / 314.25-471.38

Finding the Third Proportional to 314.25 and 471.38

Calculator

Solution

The third proportional to 314.25 and 471.38 is: 707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 471.38 = 471.38 : x
  2. Step 2: Convert to fraction form
    314.25/471.38 = 471.38/x
  3. Step 3: Cross multiply
    314.25x = 471.38 × 471.38
  4. Step 4: Simplify right side
    314.25x = 222,194.39
  5. Step 5: Solve for x
    x = 222,194.39/314.25
  6. Step 6: Final answer
    x = 707.06

Related Problems

Find third proportional to 157.13 and 235.69
Half scale
Find third proportional to 628.50 and 942.75
Double scale
Find third proportional to 316 and 474
Similar ratio
Find third proportional to 471.38 and 707.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.