Home / 658.13-1,406.81

Finding the Third Proportional to 658.13 and 1,406.81

Calculator

Solution

The third proportional to 658.13 and 1,406.81 is: 3,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 1,406.81 = 1,406.81 : x
  2. Step 2: Convert to fraction form
    658.13/1,406.81 = 1,406.81/x
  3. Step 3: Cross multiply
    658.13x = 1,406.81 × 1,406.81
  4. Step 4: Simplify right side
    658.13x = 1,979,121.41
  5. Step 5: Solve for x
    x = 1,979,121.41/658.13
  6. Step 6: Final answer
    x = 3,007.21

Related Problems

Find third proportional to 329.06 and 703.41
Half scale
Find third proportional to 1,316.25 and 2,813.63
Double scale
Find third proportional to 660 and 1,411
Similar ratio
Find third proportional to 987.19 and 2,110.22
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.