Home / 500-585

Finding the Third Proportional to 500 and 585

Calculator

Solution

The third proportional to 500 and 585 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 585 = 585 : x
  2. Step 2: Convert to fraction form
    500/585 = 585/x
  3. Step 3: Cross multiply
    500x = 585 × 585
  4. Step 4: Simplify right side
    500x = 342,225
  5. Step 5: Solve for x
    x = 342,225/500
  6. Step 6: Final answer
    x = 684.45

Related Problems

Find third proportional to 250 and 292.50
Half scale
Find third proportional to 1,000 and 1,170
Double scale
Find third proportional to 502 and 587
Similar ratio
Find third proportional to 750 and 877.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.