Home / 307.55-431.42

Finding the Third Proportional to 307.55 and 431.42

Calculator

Solution

The third proportional to 307.55 and 431.42 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 431.42 = 431.42 : x
  2. Step 2: Convert to fraction form
    307.55/431.42 = 431.42/x
  3. Step 3: Cross multiply
    307.55x = 431.42 × 431.42
  4. Step 4: Simplify right side
    307.55x = 186,123.15
  5. Step 5: Solve for x
    x = 186,123.15/307.55
  6. Step 6: Final answer
    x = 605.19

Related Problems

Find third proportional to 153.77 and 215.71
Half scale
Find third proportional to 615.09 and 862.84
Double scale
Find third proportional to 310 and 434
Similar ratio
Find third proportional to 461.32 and 647.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.