Home / 668.46-1,416.23

Finding the Third Proportional to 668.46 and 1,416.23

Calculator

Solution

The third proportional to 668.46 and 1,416.23 is: 3,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.46 : 1,416.23 = 1,416.23 : x
  2. Step 2: Convert to fraction form
    668.46/1,416.23 = 1,416.23/x
  3. Step 3: Cross multiply
    668.46x = 1,416.23 × 1,416.23
  4. Step 4: Simplify right side
    668.46x = 2,005,719.80
  5. Step 5: Solve for x
    x = 2,005,719.80/668.46
  6. Step 6: Final answer
    x = 3,000.50

Related Problems

Find third proportional to 334.23 and 708.12
Half scale
Find third proportional to 1,336.92 and 2,832.47
Double scale
Find third proportional to 670 and 1,420
Similar ratio
Find third proportional to 1,002.69 and 2,124.35
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.