Home / 541.69-856.20

Finding the Third Proportional to 541.69 and 856.20

Calculator

Solution

The third proportional to 541.69 and 856.20 is: 1,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 856.20 = 856.20 : x
  2. Step 2: Convert to fraction form
    541.69/856.20 = 856.20/x
  3. Step 3: Cross multiply
    541.69x = 856.20 × 856.20
  4. Step 4: Simplify right side
    541.69x = 733,070.41
  5. Step 5: Solve for x
    x = 733,070.41/541.69
  6. Step 6: Final answer
    x = 1,353.31

Related Problems

Find third proportional to 270.84 and 428.10
Half scale
Find third proportional to 1,083.38 and 1,712.39
Double scale
Find third proportional to 544 and 859
Similar ratio
Find third proportional to 812.53 and 1,284.29
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.