Home / 517.50-598.50

Finding the Third Proportional to 517.50 and 598.50

Calculator

Solution

The third proportional to 517.50 and 598.50 is: 692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 598.50 = 598.50 : x
  2. Step 2: Convert to fraction form
    517.50/598.50 = 598.50/x
  3. Step 3: Cross multiply
    517.50x = 598.50 × 598.50
  4. Step 4: Simplify right side
    517.50x = 358,202.25
  5. Step 5: Solve for x
    x = 358,202.25/517.50
  6. Step 6: Final answer
    x = 692.18

Related Problems

Find third proportional to 258.75 and 299.25
Half scale
Find third proportional to 1,035 and 1,197
Double scale
Find third proportional to 520 and 601
Similar ratio
Find third proportional to 776.25 and 897.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.