Home / 349-514.50

Finding the Third Proportional to 349 and 514.50

Calculator

Solution

The third proportional to 349 and 514.50 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 514.50 = 514.50 : x
  2. Step 2: Convert to fraction form
    349/514.50 = 514.50/x
  3. Step 3: Cross multiply
    349x = 514.50 × 514.50
  4. Step 4: Simplify right side
    349x = 264,710.25
  5. Step 5: Solve for x
    x = 264,710.25/349
  6. Step 6: Final answer
    x = 758.48

Related Problems

Find third proportional to 174.50 and 257.25
Half scale
Find third proportional to 698 and 1,029
Double scale
Find third proportional to 351 and 517
Similar ratio
Find third proportional to 523.50 and 771.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.