Home / 338.81-472.13

Finding the Third Proportional to 338.81 and 472.13

Calculator

Solution

The third proportional to 338.81 and 472.13 is: 657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.81 : 472.13 = 472.13 : x
  2. Step 2: Convert to fraction form
    338.81/472.13 = 472.13/x
  3. Step 3: Cross multiply
    338.81x = 472.13 × 472.13
  4. Step 4: Simplify right side
    338.81x = 222,902.02
  5. Step 5: Solve for x
    x = 222,902.02/338.81
  6. Step 6: Final answer
    x = 657.89

Related Problems

Find third proportional to 169.41 and 236.06
Half scale
Find third proportional to 677.63 and 944.25
Double scale
Find third proportional to 341 and 475
Similar ratio
Find third proportional to 508.22 and 708.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.