Home / 541-585

Finding the Third Proportional to 541 and 585

Calculator

Solution

The third proportional to 541 and 585 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 585 = 585 : x
  2. Step 2: Convert to fraction form
    541/585 = 585/x
  3. Step 3: Cross multiply
    541x = 585 × 585
  4. Step 4: Simplify right side
    541x = 342,225
  5. Step 5: Solve for x
    x = 342,225/541
  6. Step 6: Final answer
    x = 632.58

Related Problems

Find third proportional to 270.50 and 292.50
Half scale
Find third proportional to 1,082 and 1,170
Double scale
Find third proportional to 543 and 587
Similar ratio
Find third proportional to 811.50 and 877.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.