Home / 342.56-513.42

Finding the Third Proportional to 342.56 and 513.42

Calculator

Solution

The third proportional to 342.56 and 513.42 is: 769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 513.42 = 513.42 : x
  2. Step 2: Convert to fraction form
    342.56/513.42 = 513.42/x
  3. Step 3: Cross multiply
    342.56x = 513.42 × 513.42
  4. Step 4: Simplify right side
    342.56x = 263,602.02
  5. Step 5: Solve for x
    x = 263,602.02/342.56
  6. Step 6: Final answer
    x = 769.50

Related Problems

Find third proportional to 171.28 and 256.71
Half scale
Find third proportional to 685.13 and 1,026.84
Double scale
Find third proportional to 345 and 516
Similar ratio
Find third proportional to 513.84 and 770.13
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.