Home / 208.69-420.19

Finding the Third Proportional to 208.69 and 420.19

Calculator

Solution

The third proportional to 208.69 and 420.19 is: 846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 420.19 = 420.19 : x
  2. Step 2: Convert to fraction form
    208.69/420.19 = 420.19/x
  3. Step 3: Cross multiply
    208.69x = 420.19 × 420.19
  4. Step 4: Simplify right side
    208.69x = 176,557.54
  5. Step 5: Solve for x
    x = 176,557.54/208.69
  6. Step 6: Final answer
    x = 846.04

Related Problems

Find third proportional to 104.34 and 210.09
Half scale
Find third proportional to 417.38 and 840.38
Double scale
Find third proportional to 211 and 424
Similar ratio
Find third proportional to 313.03 and 630.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.