Home / 517-830.50

Finding the Third Proportional to 517 and 830.50

Calculator

Solution

The third proportional to 517 and 830.50 is: 1,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517 : 830.50 = 830.50 : x
  2. Step 2: Convert to fraction form
    517/830.50 = 830.50/x
  3. Step 3: Cross multiply
    517x = 830.50 × 830.50
  4. Step 4: Simplify right side
    517x = 689,730.25
  5. Step 5: Solve for x
    x = 689,730.25/517
  6. Step 6: Final answer
    x = 1,334.10

Related Problems

Find third proportional to 258.50 and 415.25
Half scale
Find third proportional to 1,034 and 1,661
Double scale
Find third proportional to 519 and 834
Similar ratio
Find third proportional to 775.50 and 1,245.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.