Home / 342.75-509

Finding the Third Proportional to 342.75 and 509

Calculator

Solution

The third proportional to 342.75 and 509 is: 755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    342.75/509 = 509/x
  3. Step 3: Cross multiply
    342.75x = 509 × 509
  4. Step 4: Simplify right side
    342.75x = 259,081
  5. Step 5: Solve for x
    x = 259,081/342.75
  6. Step 6: Final answer
    x = 755.89

Related Problems

Find third proportional to 171.38 and 254.50
Half scale
Find third proportional to 685.50 and 1,018
Double scale
Find third proportional to 345 and 512
Similar ratio
Find third proportional to 514.13 and 763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.