Home / 380.50-471.75

Finding the Third Proportional to 380.50 and 471.75

Calculator

Solution

The third proportional to 380.50 and 471.75 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 471.75 = 471.75 : x
  2. Step 2: Convert to fraction form
    380.50/471.75 = 471.75/x
  3. Step 3: Cross multiply
    380.50x = 471.75 × 471.75
  4. Step 4: Simplify right side
    380.50x = 222,548.06
  5. Step 5: Solve for x
    x = 222,548.06/380.50
  6. Step 6: Final answer
    x = 584.88

Related Problems

Find third proportional to 190.25 and 235.88
Half scale
Find third proportional to 761 and 943.50
Double scale
Find third proportional to 383 and 474
Similar ratio
Find third proportional to 570.75 and 707.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.