Home / 676.16-1,467.81

Finding the Third Proportional to 676.16 and 1,467.81

Calculator

Solution

The third proportional to 676.16 and 1,467.81 is: 3,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 1,467.81 = 1,467.81 : x
  2. Step 2: Convert to fraction form
    676.16/1,467.81 = 1,467.81/x
  3. Step 3: Cross multiply
    676.16x = 1,467.81 × 1,467.81
  4. Step 4: Simplify right side
    676.16x = 2,154,462.07
  5. Step 5: Solve for x
    x = 2,154,462.07/676.16
  6. Step 6: Final answer
    x = 3,186.32

Related Problems

Find third proportional to 338.08 and 733.90
Half scale
Find third proportional to 1,352.32 and 2,935.62
Double scale
Find third proportional to 678 and 1,472
Similar ratio
Find third proportional to 1,014.24 and 2,201.71
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.