Home / 203.34-309.66

Finding the Third Proportional to 203.34 and 309.66

Calculator

Solution

The third proportional to 203.34 and 309.66 is: 471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 309.66 = 309.66 : x
  2. Step 2: Convert to fraction form
    203.34/309.66 = 309.66/x
  3. Step 3: Cross multiply
    203.34x = 309.66 × 309.66
  4. Step 4: Simplify right side
    203.34x = 95,886.99
  5. Step 5: Solve for x
    x = 95,886.99/203.34
  6. Step 6: Final answer
    x = 471.55

Related Problems

Find third proportional to 101.67 and 154.83
Half scale
Find third proportional to 406.69 and 619.31
Double scale
Find third proportional to 205 and 313
Similar ratio
Find third proportional to 305.02 and 464.48
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.